which expression is equivalent to $10x^{2}y + 25x^{2}$?\n$5x^{2}(2y + 5)$\n$5x^{2}y(5 + 20y)$\n$10xy(x +…
which expression is equivalent to $10x^{2}y + 25x^{2}$?\n$5x^{2}(2y + 5)$\n$5x^{2}y(5 + 20y)$\n$10xy(x + 15y)$\n$10x^{2}(y + 25)$
Answer
Explanation:
Step1: Find the greatest - common factor
The GCF of (10x^{2}y) and (25x^{2}) is (5x^{2}).
Step2: Factor out the GCF
[ \begin{align*} 10x^{2}y + 25x^{2}&=5x^{2}(2y)+5x^{2}(5)\ &=5x^{2}(2y + 5) \end{align*} ]
Answer:
A. (5x^{2}(2y + 5))