Question

Factorise 8-27 a cube- 36a + 54a square

Answer 1

Step-by-step explanation:

8 -27a³ -36a +54a²

=(2)³ -(3a)³ - 3×2×3a(2-3a)

=(2)³-(3a)³-18a(2-3a)

=(2-3a)³

Answer 2

The correct answer for the above equation is (2-3a)³.

Given,

8 -27a³ -36a +54a²

To Find,

factorize the above equation.

Solution,

we use the simplification method to completely break down the equation in the simplest form.

So,

In the first step, we have to break the numbers into cubes and squares.

=(2)³ -(3a)³ - 3×2×3a(2-3a)

In the second step, we have to take out common factors and simplify it

=(2)³-(3a)³-18a(2-3a)

In the last step, we have to reduce it to the simplest form,

=(2-3a)³.

The correct answer for the above equation is (2-3a)³.

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