What is factor 49x^4-25x^2-9y^2+30xy ?

The solution to factor 49x^4-25x^2-9y^2+30xy is (7x^2+5x-3y)(7x^2-5x+3y)

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factor 49x^4-25x^2-9y^2+30xy

factor

49 x^{4} - 25 x^{2} - 9 y^{2} + 30 x y

(7 x^{2} + 5 x - 3 y) (7 x^{2} - 5 x + 3 y)

Solution steps

49 x^{4} - 25 x^{2} - 9 y^{2} + 30 x y

Factor

- 25 x^{2} - 9 y^{2} + 30 x y : - (5 x - 3 y)^{2}

= 49 x^{4} - (5 x - 3 y)^{2}

Simplify

49 x^{4} : (7 x^{2})^{2}

= (7 x^{2})^{2} - (5 x - 3 y)^{2}

Apply Difference of Two Squares Formula:

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

(7 x^{2})^{2} - (5 x - 3 y)^{2} = (7 x^{2} + (5 x - 3 y)) (7 x^{2} - (5 x - 3 y))

= (7 x^{2} + (5 x - 3 y)) (7 x^{2} - (5 x - 3 y))

Simplify

(7 x^{2} + (5 x - 3 y)) (7 x^{2} - (5 x - 3 y)) : (7 x^{2} + 5 x - 3 y) (7 x^{2} - 5 x + 3 y)

= (7 x^{2} + 5 x - 3 y) (7 x^{2} - 5 x + 3 y)

+ 11 x - x y + 11 y - x^{2}

6 x^{2} + 66 x + 60

a (x - 100)^{2}

\frac{2}{1} \times \frac{1}{2}

7 x^{2} x f

What is factor 49x^4-25x^2-9y^2+30xy ?
The solution to factor 49x^4-25x^2-9y^2+30xy is (7x^2+5x-3y)(7x^2-5x+3y)