What is factor 4a^3b+10a^2b^2 ?

The solution to factor 4a^3b+10a^2b^2 is 2a^2b(2a+5b)

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factor 4a^3b+10a^2b^2

factor

4 a^{3} b + 10 a^{2} b^{2}

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

Solution steps

4 a^{3} b + 10 a^{2} b^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

a^{3} b = a^{2} ab, a^{2} b^{2} = a^{2} bb

= 4 a^{2} ab + 10 a^{2} bb

Rewrite

10

5 \cdot 2

Rewrite

4

2 \cdot 2

= 2 \cdot 2 a^{2} ab + 5 \cdot 2 a^{2} bb

Factor out common term

2 a^{2} b

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

- 7 \cdot \frac{1}{4}

\frac{x ^{2}}{x ^{\frac{1}{3}}}

4 x^{2} \cdot 3 x^{2}

22222

(\frac{\frac{1}{2} + \frac{5}{4}}{\frac{1}{3}}) + (\frac{2}{3} \cdot \frac{6}{7})

What is factor 4a^3b+10a^2b^2 ?
The solution to factor 4a^3b+10a^2b^2 is 2a^2b(2a+5b)