Question

Ajuda aí pfv tenho que entregar amanhã

Answer 1

Explicação passo a passo:

Fórmula do quadrado perfeito: $\left(a+b\right)^2=a^2+2ab+b^2$

1)

a) $\left(x+y\right)^2=x^2+2xy+y^2$

b) $\left(a+7\right)^2=a^2+2a\cdot \:7+7^2=a^2+14a+49$

c) $\left(10x+y\right)^2=\left(10x\right)^2+2\cdot \:10xy+y^2=100x^2+20xy+y^2$

d) $\left(5x^2+1\right)^2=\left(5x^2\right)^2+2\cdot \:5x^2\cdot \:1+1^2=25x^4+10x^2+1$

e) $\left(a^2+c^3\right)^2=\left(a^2\right)^2+2a^2c^3+\left(c^3\right)^2=a^4+2a^2c^3+c^6$

Fórmula do quadrado perfeito: $\left(a-b\right)^2=a^2-2ab+b^2$

2)

a) $\left(x-y\right)^2=x^2-2xy+y^2$

b) $\left(m-3\right)^2=m^2-2m\cdot \:3+3^2=m^2-6m+9$

c) $\left(5x-2y\right)^2=\left(5x\right)^2-2\cdot \:5x\cdot \:2y+\left(2y\right)^2=25x^2-20xy+4y^2$

d) $\left(a^3-3c^2\right)^2=\left(a^3\right)^2-2a^3\cdot \:3c^2+\left(3c^2\right)^2=a^6-6a^3c^2+9c^4$

e) $\left(a^2c-3x\right)^2=\left(a^2c\right)^2-2a^2c\cdot \:3x+\left(3x\right)^2=a^4c^2-6a^2cx+9x^2$