What is factor 2a^2-28ab+98b^2 ?

The solution to factor 2a^2-28ab+98b^2 is 2(a-7b)^2

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factor 2a^2-28ab+98b^2

factor

2 a^{2} - 28 ab + 98 b^{2}

2 (a - 7 b)^{2}

Solution steps

2 a^{2} - 28 ab + 98 b^{2}

Factor out common term

2 : 2 (a^{2} - 14 ab + 49 b^{2})

= 2 (a^{2} - 14 ab + 49 b^{2})

Factor

a^{2} - 14 ab + 49 b^{2} : (a - 7 b) (a - 7 b)

= 2 (a - 7 b) (a - 7 b)

Apply exponent rule:

aa = a^{2}

(a - 7 b) (a - 7 b) = (a - 7 b)^{2}

= 2 (a - 7 b)^{2}

2 x (x + 7)

2 x (x + 6)

3 \cdot \frac{1}{x}

10 \cdot 3 \frac{1}{4}

6 x^{2} - x - 7

What is factor 2a^2-28ab+98b^2 ?
The solution to factor 2a^2-28ab+98b^2 is 2(a-7b)^2