which expression is equivalent to 10x²y + 25x²?\n5x²(2y + 5)\n5x²y(5 + 20y)\n10xy(x + 15y)\n10x²(y + 25)
which expression is equivalent to 10x²y + 25x²?\n5x²(2y + 5)\n5x²y(5 + 20y)\n10xy(x + 15y)\n10x²(y + 25)
Answer
Explanation:
Step1: Factor out the GCF
Find the greatest - common factor (GCF) of (10x^{2}y) and (25x^{2}). The GCF of 10 and 25 is 5, and the GCF of (x^{2}y) and (x^{2}) is (x^{2}). So the GCF of (10x^{2}y) and (25x^{2}) is (5x^{2}).
Step2: Divide each term by the GCF
(\frac{10x^{2}y}{5x^{2}} = 2y) and (\frac{25x^{2}}{5x^{2}}=5). So (10x^{2}y + 25x^{2}=5x^{2}(2y + 5)).
Answer:
A. (5x^{2}(2y + 5))