Question

Multiply: (5x - 2)(4x^2 - 3x -2)

Answer 1

Option B.

5x−2)(4x^2−3x−2)

=(5x+−2)(4x^2+−3x+−2)

=(5x)(4x^2)+(5x)(−3x)+(5x)(−2)+(−2)(4x^2)+(−2)(−3x)+(−2)(−2)

=20x^3−15x^2−10x−8x^2+6x+4

=20x^3−23x^2−4x+4

Answer 2

$\sf(5x - 2)(4x ^{2} - 3x - 2)$

Multiply the second parentheses by each term from the first parentheses

$\sf5x \times ( {4x}^{2} - 3x - 2) - 2( {4x}^{2} - 3x - 2)$

Distribute 5x through the parentheses

$\sf20x^{3} - 15x^{2} - 10x - 2( {4x}^{2} - 3x - 2)$

Distribute -2 through the parentheses

$\sf \: {20x}^{3} - {15x}^{2} - 10x - {8x}^{2} + 6x + 4$

Collect like terms

$\boxed{ \tt \: {20x}^{3} - {23x}^{2} - 4x + 4 }$

Thus, Option B is the correct choice!!~