Question

Simplify: (5x + y)² A.10x² + y² B. 25r² + y² C. 5x² + 10xy + y² D. 25x² + 5xy + y² E. 25x² + 10xy + y²

Answer 1

E

Explanation:

given

(5x + y)²

= (5x + y)(5x + y)

each term in the second factor is multiplied by each term in the first factor

5x(5x + y) + y(5x + y) ← distribute parenthesis

= 25x² + 5xy + 5xy + y² ← collect like terms

= 25x² + 10xy + y²