Question

What is the missing term in the factorization?

Answer 1

4

Explanation:

`" "18x^2-32`

`=2(9x^2-16)` --- notice this is a difference of perfect squares.

difference of perfect squares rule: `a^2-b^2 = (a+b)(a-b)`

`=2(9x^2-16)`

`=2(3x+4)(3x-4))`

so the missing term is `4`

Answer 2

The missing value is `y=4`, see explanations below.

Explanation:

`18x²-32=2(3x+y)(3x-4)`
`2(9x²-16)=2(3x+4)(3x-4)`
`2((3x)²-4²)=2(3x+4)(3x-4)`
Because `a²-b²=(a+b)(a-b)`,
`2(3x+4)(3x-4)=2(3x+y)(3x-4)`
By identification, we can clearly see that the missing value is `y=4`
\0/ here's our answer!