What is factor x^2+10xy-75y^2 ?

The solution to factor x^2+10xy-75y^2 is (x-5y)(x+15y)

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factor x^2+10xy-75y^2

factor

x^{2} + 10 x y - 75 y^{2}

(x - 5 y) (x + 15 y)

Solution steps

x^{2} + 10 x y - 75 y^{2}

Break the expression into groups

= (x^{2} - 5 x y) + (15 x y - 75 y^{2})

Factor out

x

from

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

Factor out

15 y

from

15 x y - 75 y^{2} : 15 y (x - 5 y)

= x (x - 5 y) + 15 y (x - 5 y)

Factor out common term

x - 5 y

= (x - 5 y) (x + 15 y)

21 T^{2} - 320 T + 448 = 0

\frac{2 n}{3} + \frac{1}{2} = \frac{2 n - 3}{6}

∣ x - 3 ∣ = ∣ 3 x + 8 ∣

4 x - 5 = 16 + 11 x

x^{2} < 6 x - 8

What is factor x^2+10xy-75y^2 ?
The solution to factor x^2+10xy-75y^2 is (x-5y)(x+15y)