What is factor 8x^2+56xy+98y^2 ?

The solution to factor 8x^2+56xy+98y^2 is 2(2x+7y)^2

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factor 8x^2+56xy+98y^2

factor

8 x^{2} + 56 x y + 98 y^{2}

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

Solution steps

8 x^{2} + 56 x y + 98 y^{2}

Factor out common term

2 : 2 (4 x^{2} + 28 x y + 49 y^{2})

= 2 (4 x^{2} + 28 x y + 49 y^{2})

Factor

4 x^{2} + 28 x y + 49 y^{2} : (2 x + 7 y) (2 x + 7 y)

= 2 (2 x + 7 y) (2 x + 7 y)

Apply exponent rule:

aa = a^{2}

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

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

3^{- 1} + 2^{- 2}

3 u - 10 (10 u - 10)

\frac{3}{4} - \frac{5}{2}

100 x^{2} y^{8} - 49 z^{4}

6 (6 q + 9 q + 4) - 5 q

What is factor 8x^2+56xy+98y^2 ?
The solution to factor 8x^2+56xy+98y^2 is 2(2x+7y)^2