What is factor x^2-y^2+10y-25 ?

The solution to factor x^2-y^2+10y-25 is (x+y-5)(x-y+5)

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factor x^2-y^2+10y-25

factor

x^{2} - y^{2} + 10 y - 25

(x + y - 5) (x - y + 5)

Solution steps

x^{2} - y^{2} + 10 y - 25

Factor

- y^{2} + 10 y - 25 : - (y - 5)^{2}

= x^{2} - (y - 5)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

x^{2} - (y - 5)^{2} = (x + (y - 5)) (x - (y - 5))

= (x + (y - 5)) (x - (y - 5))

Simplify

(x + (y - 5)) (x - (y - 5)) : (x + y - 5) (x - y + 5)

= (x + y - 5) (x - y + 5)

a^{6} - b^{9}

x^{4} + x y^{3} + x^{3} + y^{3}

(a + 8)^{3}

\frac{cos ( lo g _{10} ( x ^{2} ) )}{x ^{4}}

(i) (2 x + 1)^{3}

What is factor x^2-y^2+10y-25 ?
The solution to factor x^2-y^2+10y-25 is (x+y-5)(x-y+5)