Question

What is the product?
(4x+2)(5x^2+10x+3)

Answer 1

Answer:

20x³ + 50x² + 32x + 6

Step-by-step 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!!