Question

what is the factored form of this expression 27t^3-36t^2-12t-16

Answer 1

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Answer 2

The correct question
What is the factored form of this expression 27t^3-36t^2-12t+16?

The factored form is (3t + 2)(3t - 2)(3t - 4).

Given:

27t³-36t²-12t+16

To Find:

The factored form of the given expression

Solution:

We can solve this by factoring method,

27t³-36t²-12t+16 = 9t²(3t-4)-4(3t-4)

                           = (9t²-4)(3t-4)         [on further factoring the term (9t²-4)]

                           = ((3t)²-2²)(3t-4)

                           = (3t + 2)(3t - 2)(3t - 4)           [i.e a²-b² = (a+b)(a-b)]

Therefore, The factored form is (3t + 2)(3t - 2)(3t - 4).

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