What is factor (3a)^2+10ab+(7b)^2 ?

The solution to factor (3a)^2+10ab+(7b)^2 is 9a^2+10ab+49b^2

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factor (3a)^2+10ab+(7b)^2

factor

(3 a)^{2} + 10 ab + (7 b)^{2}

9 a^{2} + 10 ab + 49 b^{2}

Solution steps

(3 a)^{2} + 10 ab + (7 b)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 3^{2} a^{2} + 10 ab + (7 b)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 3^{2} a^{2} + 10 ab + 7^{2} b^{2}

Refine

= 9 a^{2} + 10 ab + 49 b^{2}

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What is factor (3a)^2+10ab+(7b)^2 ?
The solution to factor (3a)^2+10ab+(7b)^2 is 9a^2+10ab+49b^2