Respuesta :

we have

[tex]10x^{2}y+ 25x^{2}[/tex]

we know that

[tex]10=2*5\\25=5*5[/tex]

substitute

[tex](2*5)x^{2}y+ (5*5)x^{2}[/tex]

Factor [tex]5x^{2}[/tex]

[tex](5x^{2})(2y+ 5)[/tex]

therefore

the answer is

[tex](5x^{2})(2y+ 5)[/tex]

The equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

What are equivalent expressions?

Equivalent expressions are expressions that have equal values

The expression is given as:

10x^2y + 25x^2

Factor out 5x^2 from the expression

5x^2(2y + 5)

Hence, the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

Read more about equivalent expression at:

https://brainly.com/question/723406

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