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Popular >

factor 36a^2-60ab+25b^2

Solution

factor

36 a^{2} - 60 ab + 25 b^{2}

Solution

(6 a - 5 b)^{2}

Solution steps

36 a^{2} - 60 ab + 25 b^{2}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

36 a^{2} = (6 a)^{2}

25 b^{2} = (5 b)^{2}

- 60 ab = - 2 \cdot 6 a \cdot 5 b

= (6 a)^{2} - 2 \cdot 6 a \cdot 5 b + (5 b)^{2}

Apply Perfect Square Formula:

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

(6 a)^{2} - 2 \cdot 6 a \cdot 5 b + (5 b)^{2} = (6 a - 5 b)^{2}

= (6 a - 5 b)^{2}

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Frequently Asked Questions (FAQ)

What is factor 36a^2-60ab+25b^2 ?
The solution to factor 36a^2-60ab+25b^2 is (6a-5b)^2

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