Question

Which of the following is equivalent to (7x + 3y)(8x + 5y)?

A 7x² + 23xy + 5y²
B 7x² + 24xy + 8y²
C 56x² + 59xy + 15y²
D 56x² + 35xy + 15y²

Answer 1

(7x+3y)(8x+5y)
56x^2+35xy+24xy+15y^2
56x^2+59xy+15y^2

Answer 2

Option C, 56x^2 + 59xy + 15y^2

Explanation:

Step 1: Multiply

`(7x + 3y)(8x + 5y)`

`(7x * 8x) + (7x * 5y) + (3y * 8x) + (3y * 5y)`

`(56x^2) + (35xy) + (24xy) + (15y^2)`

`56x^2 + 59xy + 15y^2`

Answer: Option C, 56x^2 + 59xy + 15y^2