Question

Multiply: (2x2 − 5x)(4x2 − 12x + 10)

Answer 1

The answer is 60x^2 - 138x + 72

Hope this helps!

Answer 2

`8x^4-44x^3+80x^2-50x`

Explanation:

The given expression is

`(2x^2-5x)(4x^2-12x+10)`

Using distributive property we get

`2x^2(4x^2-12x+10)-5x(4x^2-12x+10)`

`2x^2(4x^2)+2x^2(-12x)+2x^2(10)-5x(4x^2)-5x(-12x)-5x(10)`

On simplification we get

`8x^4-24x^3+20x^2-20x^3+60x^2-50x`

On combine like terms.

`8x^4+(-24x^3-20x^3)+(20x^2+60x^2)-50x`

`8x^4-44x^3+80x^2-50x`

Therefore the product of two polynomials is
`8x^4-44x^3+80x^2-50x`.