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Popular >

factor b^3+10b^2+25b

Solution

factor

b^{3} + 10 b^{2} + 25 b

Solution

b (b + 5)^{2}

Solution steps

b^{3} + 10 b^{2} + 25 b

Factor out common term

b : b (b^{2} + 10 b + 25)

= b (b^{2} + 10 b + 25)

Factor

b^{2} + 10 b + 25 : (b + 5) (b + 5)

= b (b + 5) (b + 5)

Apply exponent rule:

aa = a^{2}

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

= b (b + 5)^{2}

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Frequently Asked Questions (FAQ)

What is factor b^3+10b^2+25b ?
The solution to factor b^3+10b^2+25b is b(b+5)^2