Which expression is equivalent to 10x2y + 25x2

General
1

which expression is equivalent to 10x2y + 25x2

2

Which expression is equivalent to 10x²y + 25x²?

Answer: To find an expression equivalent to ( 10x^2y + 25x^2 ), we need to factor out the greatest common factor (GCF) from the given expression.

  1. Identify the GCF of the terms:

    • The terms are ( 10x^2y ) and ( 25x^2 ).
    • Both terms have a common factor of ( 5x^2 ).

  2. Factor out the GCF:

    • ( 10x^2y ) can be written as ( 5x^2 \times 2y ).
    • ( 25x^2 ) can be written as ( 5x^2 \times 5 ).

Thus,

10x^2y + 25x^2

can be factored as follows:

10x^2y + 25x^2 = 5x^2(2y) + 5x^2(5)

By factoring out the common factor ( 5x^2 ) from both terms, we get:

10x^2y + 25x^2 = 5x^2(2y + 5)

Therefore, the expression equivalent to ( 10x^2y + 25x^2 ) is \boxed{5x^2(2y + 5)} .