Question

Expand and simplify: (6a+2)(6a-5)-(7a-1)(a-2)

Answer 1

Answer:

29a² - 3a - 12

Step-by-step explanation:

Given expression:

(6a+2)(6a-5)-(7a-1)(a-2)

Solution:

Apply distributive property.

$\rm=(6a)(6a)+(6a)(-5)+(2)(6a)+(2)(-5)-7a^2+15a-2$

$\rm= 36a {}^{2} - 30a + 12a - 10 - 7a {}^{2} + 15a - 2$

Combine like terms:

$\rm=(36a {}^{2} - 7a {}^{2} )+( - 30a+12a+15a)+( - 10 - 2)$

$= \boxed{ \rm \: 29a {}^{2} - 3a - 12}$

Done!