Question

factorise: xsquare-ysquare- 2x - 4y +1 - 4. ans (x+y+1)(x - y - 3) how??

Answer 1

This question uses formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$, good. With this, we can find two roots.

Furthermore, we can use factor theorem.

Let's find the solutions for x. We should solve for x.

→ $x^2-2x-y^2-4y-3=0$

Apply formula, we get the two roots.

→ $x=\dfrac{2\pm\sqrt{4y^2+16y+16} }{2}$

→ $x=\dfrac{2\pm{2(y+2)} }{2}$

→ $x=1\pm(y+2)$

∴The two solutions are $x=y+3$ or $x=-y-1$.

By factor theorem, two factors are $x-y-3$ and $x+y+1$.

∴$(x-y-3)(x+y+1)$

Be brainly! Try to understand math, it can solve the problem more easily.