Question

Factorise 32x² - 18y²​

Answer 1

Given: The expression 32x² - 18y²​

To find: Factorise the given expression.

Solution:

• We have provided with the term 32x² - 18y²​.

• Now lets take common multiple out of the bracket, we get:

            2 x (16x² - 9y²)

• Now we can see that it can form a square.

            2 x ((4x)² - (3y)²)

• Now we know the identity: (a² - b²) = (a - b)(a + b)

• So applying the identity, we get:

           2 x { (4x - 3y)(4x + 3y) }

• So after factorisation, answer is:

           2(4x - 3y)(4x + 3y)

Answer:

        So the factorisation of 32x² - 18y²​  is 2(4x - 3y)(4x + 3y)

Answer 2

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