What is factor 3x^2+10xy-25y^2 ?

The solution to factor 3x^2+10xy-25y^2 is (3x-5y)(x+5y)

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factor 3x^2+10xy-25y^2

factor

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

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

Solution steps

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

Break the expression into groups

= (3 x^{2} - 5 x y) + (15 x y - 25 y^{2})

Factor out

x

from

3 x^{2} - 5 x y : x (3 x - 5 y)

Factor out

5 y

from

15 x y - 25 y^{2} : 5 y (3 x - 5 y)

= x (3 x - 5 y) + 5 y (3 x - 5 y)

Factor out common term

3 x - 5 y

= (3 x - 5 y) (x + 5 y)

∣ x - 1 ∣ + ∣ x + 3 ∣ - ∣ x - 2 ∣ \leq 4

8 x^{2} - 37 x - 15

m^{2} + 5 m + 6

x^{2} + 2 x + 5 x + 10

w^{2} - 144

What is factor 3x^2+10xy-25y^2 ?
The solution to factor 3x^2+10xy-25y^2 is (3x-5y)(x+5y)