which expression is equivalent to ( 10x^{2}y + 25x^{2} )?\n( 5x^{2}(2y + 5) )\n( 5x^{2}y(5 + 20y) )\n(…
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 (GCF)
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}\times2y+5x^{2}\times5\ &=5x^{2}(2y + 5) \end{align*} ]
Answer:
A. (5x^{2}(2y + 5))