Question

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

Answer 1

29a² - 3a - 12

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!