Question

o valor da expressão
${a}^{3}y - {3}^{2}a \: {x}^{2} \: {y}^{2}$
,para a=10, x=2 y=1 é:

a)100
b)50
c)250
d-150
e)-200​

Answer 1

Explicação passo-a-passo:

$\\ \displaystyle \mathsf{a^3y - 3^2ax^2y^2 =} \\\\ \mathsf{ay \cdot (a^2 - 9x^2y) =} \\\\ \mathsf{a(a^2 - 9x^2) =} \\\\ \mathsf{a \cdot (a + 3x) \cdot (a - 3x) =} \\\\ \mathsf{10 \cdot (10 + 3 \cdot 2) \cdot (10 - 3 \cdot 2) =} \\\\ \mathsf{10 \cdot 16 \cdot 4 =} \\\\ \boxed{\boxed{\mathsf{640}}}$