Answer
$30x^{2}$
Work Step by Step
Given expression : $(-5x)^{2} + 5x^{2}$
This becomes : $(-5x)^{2} + 5x^{2} = (-5)^{2}x^{2} + 5x^{2}$
(since $(ab)^{n}=a^{n}b^{n}$)
This becomes : $25x^{2} + 5x^{2} = (25+5)x^{2}$
Final result : $30x^{2}$
Algebra 1
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133500403
ISBN 13:
978-0-13350-040-0
Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 60
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