What is the factored form of this expression? 27t^3 - 36t^2 - 12t - 16 = (_)(_)(_)

Answers:
(3t - 2) ( 3t + 2) ( 3t - 4)

I hope this helps.

= (3t+2)(3t-2)(3t-4)

Step-by-step explanation:

Given the expression 27t^3 - 36t^2 - 12t + 16

On factoring:

(27t^3 - 36t^2) - (12t + 16)

= 9t²(3t-4)-4(3t-4)

= (9t²-4)(3t-4)

factoring 9t²-4

9t²-4 = (3t)² - 2²

From different of two square, a²-b² = (a+b)(a-b)

Hence (3t)² - 2² = (3t+2)(3t-2)

= (9t²-4)(3t-4)

= (3t+2)(3t-2)(3t-4)

Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1