Question

1. what is $(3a + 7)(8a + 7)?$

a. $24a^{2}+77a + 49$
b. $24a^{2}+75a + 49$
c. $24a^{2}+76a + 50$
d. $24a^{2}+74a + 48$

Explanation:

Step1: Apply FOIL method

$(3a+7)(8a+7) = 3a\cdot8a + 3a\cdot7 + 7\cdot8a + 7\cdot7$

Step2: Calculate each term

$=24a^2 + 21a + 56a + 49$

Step3: Combine like terms

$=24a^2 + (21a+56a) + 49 = 24a^2 + 77a + 49$

Answer:

a. $24a^2 + 77a + 49$