Question

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

Answer 1

`48 {x}^(4)  + 60{x}^(2) {y}^(3) +  56 {y}^(6)`

Explanation:

Answer 2

`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)`