Question

Divide 49x2 – 36y2 by 7x - 6y

Answer 1

Answer:

$49 {x}^{2} - 36 {y}^{2} \: by \: 7x - 6y \\ \frac{49 {x}^{2} - 36 {y}^{2} }{7x - 6y} \\ \frac{ {(7x)}^{2} - {(6y)}^{2} }{7x - 6y} \\ \frac{(7x - 6y)(7x + 6y)}{(7x - 6y)} \\ 7x + 6y$

answer

Answer 2

Given:

Dividend = 49x²-36y²

Divisor = 7x-6y

To find:

The value obtained when 49x²-36y² is divided by 7x-6y.

Solution:

When we will divide 49x²-36y² by 7x-6y, then we will get:

=$\frac{49x^{2}-36y^{2} }{7x-6y}$

On simplifying the numerator, we will get:

=$\frac{(7x)^{2}-(6y)^{2} }{7x-6y}$

No, with the help of simple formulas, we can simplify the numerator further as follows:

=$\frac{(7x+6y)(7x-6y) }{7x-6y}$

Here the formula used was: a²-b²=(a+b)(a-b).

On further simplifying, we get:

= 7x+6y

Thus, when we will divide 49x²-36y² by 7x-6y, then 7x=6y is obtained as the answer.