What is factor 16x^4-49y^2 ?

The solution to factor 16x^4-49y^2 is (4x^2+7y)(4x^2-7y)

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factor 16x^4-49y^2

factor

16 x^{4} - 49 y^{2}

(4 x^{2} + 7 y) (4 x^{2} - 7 y)

Solution steps

16 x^{4} - 49 y^{2}

16 x^{4} = (4 x^{2})^{2}

49 y^{2} = (7 y)^{2}

= (4 x^{2})^{2} - (7 y)^{2}

Apply Difference of Two Squares Formula:

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

(4 x^{2})^{2} - (7 y)^{2} = (4 x^{2} + 7 y) (4 x^{2} - 7 y)

= (4 x^{2} + 7 y) (4 x^{2} - 7 y)

π \cdot (\frac{1.14}{2} \cdot 1 0^{- 3})^{2}

(n + 1)^{3}

9 x^{2} + 4 = 724

x^{2} - 2 x - 17 = 0

What is factor 16x^4-49y^2 ?
The solution to factor 16x^4-49y^2 is (4x^2+7y)(4x^2-7y)