Question

What is the product of the binomials below?

(2x +5)(3x+4)

O A. 6x² +23x +20
O B. 5x2 +23x +9
O C. 6x2 + 23x +9
O D. 5x2 +23x+20

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{6 {x}^(2) + 23x + 20}}}}}`

Option A is the correct option.

Explanation:

`\sf{(2x + 5)(3x + 4)}`

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

⇒
`\sf{2x(3x + 4) + 5(3x + 4)}`

⇒
`\sf{6 {x}^(2) + 8x + 15x + 20}`

Collect like terms

⇒
`\sf{6 {x}^(2) + 23x + 20}`

Hope I helped !

Best regards!!