College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4: 90

Answer

$25x^2-30x+9$

Work Step by Step

$$\frac{(5x-3)^6}{(5x-3)^4}$$ When dividing two exponential expressions with the same non-zero base, subtract the exponent of the denominator from the exponent of the numerator. Note: $5x-3\ne0$. $$=(5x-3)^{(6-4)}$$ $$=(5x-3)^2$$ To square a binomial, use the formula: $(a-b)^2=a^2-2ab+b^2$. $$=(5x)^2-2(5x)(3)+3^2$$ $$=25x^2-30x+9$$
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