Question

fa25 math 125 - 09: precalculus i homework: ch 1.2 operations with algebraic expressions question 11, 1.2.29 find the product. (a + 3)(7a + 5) (a + 3)(7a + 5)= (simplify your answer)

Explanation:

Step1: Apply FOIL method

$(a + 3)(7a+5)=a\times7a+a\times5 + 3\times7a+3\times5$

Step2: Calculate each product

$a\times7a = 7a^{2}$, $a\times5=5a$, $3\times7a = 21a$, $3\times5 = 15$

Step3: Combine like - terms

$7a^{2}+(5a + 21a)+15=7a^{2}+26a + 15$

Answer:

$7a^{2}+26a + 15$