QuestionQuiz Review: Factor each completely. 1) $50 b^{2}-40 b+8$ 2) $45 x^{2}-80$ 3) $75 r^{2}-27$ 4) $75 a^{2}-30 a+3$ 5) $64 u^{4}-125 u$ 6) $27+x^{3}$ 7) $u^{4}+64 u$ 8) $x-125 x^{4}$ 9) $14 n^{3}+6 n^{2}+21 n+9$ 10) $30 r^{3}+35 r^{2}-6 r-7$

Studdy Solution
Factor out the common binomial factor:
$$(2n^2 + 3)(7n + 3)$$
**Problem 10: $30r^3 + 35r^2 - 6r - 7$**
STEP_1: Group terms to factor by grouping:
$$(30r^3 + 35r^2) + (-6r - 7)$$
STEP_2: Factor out the GCF from each group:
$$5r^2(6r + 7) - 1(6r + 7)$$
STEP_3: Factor out the common binomial factor:
$$(5r^2 - 1)(6r + 7)$$