Question

Multiply: (2x2 − 5x)(4x2 − 12x + 10)

Answer 1

Answer:

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

Step-by-step 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 $8x^4-44x^3+80x^2-50x$.

Answer 2

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

Hope this helps!