Question

Perform the indicated operation. (12x2 + 7y3)(4x2 + 7y3)

Answer 1

ANSWER

$48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}$

EXPLANATION

We want expand:

$(12x^2+8y^3)(4x^2+7y^3)$

We expand using the distributive to obtain:

$12 {x}^{2} (4 {x}^{2} + 7 {y}^{3} ) + 8 {y}^{3} (4 {x}^{2} + 7 {y}^{3} )$

$48 {x}^{4} + 28 {x}^{2} {y}^{3} + 32{x}^{2} {y}^{3} + 56 {y}^{6}$

Simplify further by combining the two terms in the middle:

$48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}$

Answer 2

Answer:

$48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}$

Step-by-step explanation: