Sure, here is the step-by-step solution:

The given expression is 9x^2 - 16y^2.

This is a difference of squares, which can be factored as follows:

A^2 - B^2 = (A - B)(A + B)

Here, A = 3x and B = 4y.

So, 9x^2 - 16y^2 = (3x)^2 - (4y)^2 = (3x - 4y)(3x + 4y).

So, the factorised form of 9x^2 - 16y^2 is (3x - 4y)(3x + 4y).

Question

Sure, here is the step-by-step solution:

The given expression is 9x^2 - 16y^2.

This is a difference of squares, which can be factored as follows:

A^2 - B^2 = (A - B)(A + B)

Here, A = 3x and B = 4y.

So, 9x^2 - 16y^2 = (3x)^2 - (4y)^2 = (3x - 4y)(3x + 4y).

So, the factorised form of 9x^2 - 16y^2 is (3x - 4y)(3x + 4y).

Knowee AI · Accepted Answer

Sure, here is the step-by-step solution:

The given expression is 9x^2 - 16y^2.

This is a difference of squares, which can be factored as follows:

A^2 - B^2 = (A - B)(A + B)

Here, A = 3x and B = 4y.

So, 9x^2 - 16y^2 = (3x)^2 - (4y)^2 = (3x - 4y)(3x + 4y).

So, the factorised form of 9x^2 - 16y^2 is (3x - 4y)(3x + 4y).

Factorise 9x2−16y2 completely.