What is factor 5a*b^2+10a^2*b^2-15a^3*b^4 ?

The solution to factor 5a*b^2+10a^2*b^2-15a^3*b^4 is 5ab^2(1+2a-3a^2b^2)

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factor 5ab^2+10a^2b^2-15a^3*b^4

factor

5 a \cdot b^{2} + 10 a^{2} \cdot b^{2} - 15 a^{3} \cdot b^{4}

5 a b^{2} (1 + 2 a - 3 a^{2} b^{2})

Solution steps

5 a b^{2} + 10 a^{2} b^{2} - 15 a^{3} b^{4}

Apply exponent rule:

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

a^{2} b^{2} = aa b^{2}, a^{3} b^{4} = a a^{2} b^{2} b^{2}

= 5 a b^{2} + 10 aa b^{2} - 15 a a^{2} b^{2} b^{2}

Rewrite

- 15

3 \cdot 5

Rewrite

10

2 \cdot 5

= 5 a b^{2} + 2 \cdot 5 aa b^{2} + 3 \cdot 5 a a^{2} b^{2} b^{2}

Factor out common term

5 a b^{2}

= 5 a b^{2} (1 + 2 a - 3 a^{2} b^{2})

b^{3} (5 a - 6) 4 + 2 (a - 4) 5

x^{4} - 2 x^{3} + x^{2} - 2 x

\frac{1}{2 ( a + b + c ) [ ( a - b ) ^{2} + ( b - c ) ^{2} + ( c - a ) ^{2} ]}

3^{x - 2} - 3^{2}

3 x + (- 3 y) - (4 x)

What is factor 5a*b^2+10a^2*b^2-15a^3*b^4 ?
The solution to factor 5a*b^2+10a^2*b^2-15a^3*b^4 is 5ab^2(1+2a-3a^2b^2)