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Calcolatrice di Quadrato di un trinomio

Risolvete i vostri problemi di matematica con la nostra calcolatrice Quadrato di un trinomio passo-passo. Migliorate le vostre abilità matematiche con il nostro ampio elenco di problemi impegnativi. Trova tutte le nostre calcolatrici qui.

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1

Here, we show you a step-by-step solved example of square of a trinomial. This solution was automatically generated by our smart calculator:

$f\left(x\right)=\left(x^2-3x+8\right)^3$
2

Expand the cube of a trinomial

$f\left(x\right)=\left(x^2\right)^3+3\cdot -3\left(x^2\right)^2x+3\cdot 8\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+3\cdot 8\left(-3x\right)^2+8^3+3\cdot 8^2x^2+3\cdot -3\cdot 8^2x+6\cdot -3\cdot 8x^2x$
3

Multiply $3$ times $-3$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+3\cdot 8\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+3\cdot 8\left(-3x\right)^2+8^3+3\cdot 8^2x^2+3\cdot -3\cdot 8^2x+6\cdot -3\cdot 8x^2x$
4

Multiply $3$ times $8$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+3\cdot 8\left(-3x\right)^2+8^3+3\cdot 8^2x^2+3\cdot -3\cdot 8^2x+6\cdot -3\cdot 8x^2x$
5

Multiply $3$ times $8$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+8^3+3\cdot 8^2x^2+3\cdot -3\cdot 8^2x+6\cdot -3\cdot 8x^2x$
6

Multiply $3$ times $-3$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+8^3+3\cdot 8^2x^2-9\cdot 8^2x+6\cdot -3\cdot 8x^2x$
7

Multiply $6$ times $-3$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+8^3+3\cdot 8^2x^2-9\cdot 8^2x-18\cdot 8x^2x$
8

Multiply $-18$ times $8$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+8^3+3\cdot 8^2x^2-9\cdot 8^2x-144x^2x$
9

Calculate the power $8^3$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+3\cdot 64x^2-9\cdot 64x-144x^2x$
10

Multiply $3$ times $64$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-9\cdot 64x-144x^2x$
11

Multiply $-9$ times $64$

$f\left(x\right)=\left(x^2\right)^3-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
12

Simplify $\left(x^2\right)^3$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $3$

$x^{2\cdot 3}$
13

Multiply $2$ times $3$

$x^{6}$
14

Multiply $2$ times $3$

$f\left(x\right)=x^{6}-9\left(x^2\right)^2x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
15

Simplify $\left(x^2\right)^3$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $3$

$x^{2\cdot 3}$
16

Multiply $2$ times $3$

$x^{6}$
17

Simplify $\left(x^2\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $2$

$-9x^{2\cdot 2}x$
18

Multiply $2$ times $2$

$-9x^{4}x$
19

Multiply $2$ times $2$

$f\left(x\right)=x^{6}-9x^{4}x+24\left(x^2\right)^2+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
20

Simplify $\left(x^2\right)^3$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $3$

$x^{2\cdot 3}$
21

Multiply $2$ times $3$

$x^{6}$
22

Simplify $\left(x^2\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $2$

$-9x^{2\cdot 2}x$
23

Multiply $2$ times $2$

$-9x^{4}x$
24

Simplify $\left(x^2\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $2$

$24x^{2\cdot 2}$
25

Multiply $2$ times $2$

$24x^{4}$
26

Multiply $2$ times $2$

$f\left(x\right)=x^{6}-9x^{4}x+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
27

When multiplying exponents with same base you can add the exponents: $-9x^{4}x$

$f\left(x\right)=x^{6}-9x^{4+1}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
28

Add the values $4$ and $1$

$f\left(x\right)=x^{6}-9x^{5}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
29

When multiplying exponents with same base you can add the exponents: $-144x^2x$

$f\left(x\right)=x^{6}-9x^{5}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^{2+1}$
30

When multiplying exponents with same base you can add the exponents: $-9x^{4}x$

$f\left(x\right)=x^{6}-9x^{4+1}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
31

Add the values $4$ and $1$

$f\left(x\right)=x^{6}-9x^{5}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^2x$
32

Add the values $2$ and $1$

$f\left(x\right)=x^{6}-9x^{5}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^{3}$

Risposta finale al problema

$f\left(x\right)=x^{6}-9x^{5}+24x^{4}+\left(-3x\right)^3+3x^2\left(-3x\right)^2+24\left(-3x\right)^2+512+192x^2-576x-144x^{3}$

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