Question

solve x²+16x-36/x²+22x-48​

Answer 1

Answer:

Step-by-step explanation:

Please see the attachment

Hope this will help you

Answer 2

Answer:

The answer to the above given is $\frac{(x+18)}{(x+24)}$

Step-by-step explanation:

Here we have been asked to divide two polynomials. For this, we will first factorize each of them separately and then we will undergo division of both the factorized forms to get the quotient of their division as below:

$x^{2} + 16x -36$

= $x^{2} + (18-2) x -36$

= $x^{2} + 18x - 2x -36$

= $x(x+18) - 2(x+18)$

= $(x-2)(x+18)$

$x^{2} + 22x - 48$

= $x^{2} + (24-2)x - 48$

= $x^{2} + 24x - 2x - 48$

= $x(x+24) - 2(x+24)$

= $(x-2)(x+24)$

Therefore after dividing them both we have,

$\frac{(x-2)(x+18)}{(x-2)(x+24)}$

= $\frac{(x+18)}{(x+24)}$

Therefore the answer is $\frac{(x+18)}{(x+24)}$