Math, asked by Bhavan02, 1 month ago

Factorize: 16x² – 36y²​

Answers

Answered by pulakmath007
2

SOLUTION

TO DETERMINE

Factorise :

 \sf 16 {x}^{2}  - 36 {y}^{2}

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

 \sf  {a}^{2}  - {b}^{2}  = (a + b)(a - b)

EVALUATION

Here the given expression is

 \sf 16 {x}^{2}  - 36 {y}^{2}

We factorise it as below

 \sf 16 {x}^{2}  - 36 {y}^{2}

 \sf  = 4(4 {x}^{2}  - 9 {y}^{2} )

 \sf  =  4 \bigg[{(2x)}^{2}  -  {(3y)}^{2}  \bigg]

 \sf  = 2 \times 2 \times \: (2x + 3y)(2x - 3y)

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280

Similar questions