Question

$49x^{2} - 25y^{2} \div (49x^{2} + 70xy + 25y^{2})$
simplify​

Answer 1

Using the Algebraic Equations

Step-by-step explanation:

$\frac{49x^2 - 25y^2}{49x^2 + 70xy + 25y^2}$

=$\frac {(7x)^2 - (5)^2}{(7x)^2 + 2(7x)(5y) + (5y)^2}$

(By Mid term splitting and equations of algebra)

= $\frac {(7x - 5y)\times(7x + 5y)}{(7x + 5y)^2}$

(Using (a - b)(a + b) = $a^2 - b^2$)

and

(Using$(a + b)^2 = a^2 + 2ab + b^2$)

- now cancel the same numerator and denominator terms - (7x + 5y)

We get-

$\frac{7x - 5y}{7x + 5y}$