Esercizio
$3x\:.\:\left(2x-3y-5xy\right)^2\:.\:\left(3xy-5x\right)^3$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. 3x(2x-3y-5xy)^2(3xy-5x)^3. Applicare la formula: \left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc, dove a=2x, b=-3y e c=-5xy. Applicare la formula: \left(ab\right)^n=a^nb^n. Applicare la formula: \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3, dove a=3xy, b=-5x e a+b=3xy-5x. Applicare la formula: \left(ab\right)^n=a^nb^n.
3x(2x-3y-5xy)^2(3xy-5x)^3
Risposta finale al problema
$8424x^{6}y^{3}-1620x^{6}y^2+108x^{4}y\left(-5x\right)^2+12\left(-5x\right)^3x^{3}+81x^{4}y^3\left(-3y\right)^2-405x^{4}y^2\left(-3y\right)^2+27x^2y\left(-5x\right)^2\left(-3y\right)^2+3\left(-5x\right)^3\left(-3y\right)^2x+81x^{6}y^3\left(-5y\right)^2-405x^{6}y^2\left(-5y\right)^2+27x^{4}y\left(-5x\right)^2\left(-5y\right)^2+3\left(-5x\right)^3x^{3}\left(-5y\right)^2-13122x^{5}y^{4}+4860x^{5}y^{3}-324x^{3}y^2\left(-5x\right)^2-36\left(-5x\right)^3x^2y-1620x^{6}y^{4}-540x^{4}y^2\left(-5x\right)^2-60\left(-5x\right)^3x^{3}y+2430x^{5}y^{5}+810x^{3}y^{3}\left(-5x\right)^2+90\left(-5x\right)^3y^2x^2$