What is factor x^2-196y^2 ?

The solution to factor x^2-196y^2 is (x+14y)(x-14y)

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factor x^2-196y^2

factor

x^{2} - 196 y^{2}

(x + 14 y) (x - 14 y)

Solution steps

x^{2} - 196 y^{2}

Simplify

196 y^{2} : (14 y)^{2}

= x^{2} - (14 y)^{2}

Apply Difference of Two Squares Formula:

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

x^{2} - (14 y)^{2} = (x + 14 y) (x - 14 y)

= (x + 14 y) (x - 14 y)

7 (5 x - 7)^{2} + 9 (5 x - 7) (x + 9)

- 1 \leq n + 2 \leq 6

56 x^{2} + 102 x + 22

5 x^{2} - 8 x - 21 = 0

\frac{3}{4} - \frac{1}{2}