Question

cuánto es (-6a⁷b+3a³b⁵)²=​

Answer 1

Respuesta:

creo es -3a⁴b⁴ espero te ayude:(

Answer 2

Respuesta:

Un gusto ayudarte

Cuánto es (-6a⁷b+3a³b⁵)²=​

$\mathrm{Aplicar\:la\:formula\:del\:binomio\:al\:cuadrado}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$\left(-6a^7b+3a^3b^5\right)^2\\\\\left(-6a^7b\right)^2+2\left(-6a^7b\right)\cdot \:3a^3b^5+\left(3a^3b^5\right)^2 \\\\36a^{14}b^2-36a^{10}b^6+9a^6b^{10}$

$\left(a^6b+12\right)\left(a^6b-4\right)\\\\a^6ba^6b+a^6b\left(-4\right)+12a^6b+12\left(-4\right)\\\\a^6a^6bb-4a^6b+12a^6b-12\cdot \:4\\\\a^{12}b^2+8a^6b-48$

$\left(c^4-17\right)\left(c^4+10\right)\\\\c^4c^4+c^4\cdot \:10+\left(-17\right)c^4+\left(-17\right)\cdot \:10\\\\c^4c^4+10c^4-17c^4-17\cdot \:10\\\\=c^8-7c^4-170$

$\left(6x^2-8\right)\left(6x^2-3\right)\\\\6x^2\cdot \:6x^2+6x^2\left(-3\right)+\left(-8\right)\cdot \:6x^2+\left(-8\right)\left(-3\right)\\\\6\cdot \:6x^2x^2-6\cdot \:3x^2-8\cdot \:6x^2+8\cdot \:3\\\\36x^4-66x^2+24$

$\left(7x^2y^6-14\right)\left(7x^2y^6+8\right)\\\\7x^2y^6\cdot \:7x^2y^6+7x^2y^6\cdot \:8+\left(-14\right)\cdot \:7x^2y^6+\left(-14\right)\cdot \:8\\\\7\cdot \:7x^2x^2y^6y^6+7\cdot \:8x^2y^6-14\cdot \:7x^2y^6-14\cdot \:8\\\\49x^4y^{12}-42x^2y^6-112$