Question

Which expression is equivalent to 10x^2y + 25x^2?

A) 5x^2(2y + 5)

B) 5x^2y(5 + 20y)

C) 10xy(x + 15y)

D) 10x^2(y + 25)

Answer 1

A)5x^2(2y+5) is equivalent to 10x^2y+25x^2.

Answer 2

A) 5x^2(2y + 5)

Explanation:

To find the equivalent of the given expression, we must factorize the items or units that are added up in the expression. To factorize, simplify each element.

10x^2y = 2 * 5 * x * x *y

25x^2 = 5 * 5 * x * x

From above, the common factors are 5, x and x which is equivalent (in product) to 5x^2. Taking that separately,

10x^2y + 25x^2

= 5x^2 (2y + 5)