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

Answer»

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.



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