Question

factorize 9 x 2 - 16 y 2​

Answer 1

Answer:

9x

2

−16y

2

=(3x+4y)(3x−4y)

Step-by-step explanation:

Using:a

2

−b

2

=(a+b)(a−b)

Using the above identity, the equation 9x

2

−16y

2

can be factorised as follows:

9x

2

−16y

2

=(3x)

2

−(4y)

2

=(3x+4y)(3x−4y)

Hence, 9x

2

−16y

2

=(3x+4y)(3x−4y)