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: $(a-b)^2=a^2-2ab+b^2$. $$=(5x)^2-2(5x)(3)+3^2$$ $$=25x^2-30x+9$$