1 Answer

Vijay Mohan · Answer 1 · 2021-06-23T08:08:58+0000

Answer:

20x³ + 50x² + 32x + 6

Explanation:

$(4x + 2)(5 {x}^(2) + 10x + 3)$

Multiply the second parentheses by each term from the first parentheses

$4x( {5x}^(2) + 10 x + 3) + 2(5 {x}^(2) + 10x + 3)$

Distribute 4x through the parentheses

$20 {x}^(3) + 40 {x}^(2) + 12x + 2(5 {x}^(2) + 10x + 3)$

Distribute 2 through the parentheses

$20 {x}^(3) + 40 {x}^(2) + 12x + 10 {x}^(2) + 20x + 6$

Collect like terms

$20 {x}^(3) + 50 {x}^(2) + 32x + 6$

Hope this helps...

Best regards!!