What is factor 49a^5b^3-14a^2b^2+35ab ?

The solution to factor 49a^5b^3-14a^2b^2+35ab is 7ab(7a^4b^2-2ab+5)

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factor 49a^5b^3-14a^2b^2+35ab

factor

49 a^{5} b^{3} - 14 a^{2} b^{2} + 35 ab

7 ab (7 a^{4} b^{2} - 2 ab + 5)

Solution steps

49 a^{5} b^{3} - 14 a^{2} b^{2} + 35 ab

Apply exponent rule:

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

a^{5} b^{3} = a a^{4} b b^{2}, a^{2} b^{2} = aabb

= 49 a a^{4} b b^{2} - 14 aabb + 35 ab

Rewrite

35

5 \cdot 7

Rewrite

- 14

2 \cdot 7

= 7 \cdot 7 a a^{4} b b^{2} + 2 \cdot 7 aabb + 5 \cdot 7 ab

Factor out common term

7 ab

= 7 ab (7 a^{4} b^{2} - 2 ab + 5)

\frac{1}{2 ^{- 2}}

1 0^{2} - 7^{2} = c^{2}

w^{2} - 5 w + 5 = 0

x^{3} - 2 x^{2} - 9

What is factor 49a^5b^3-14a^2b^2+35ab ?
The solution to factor 49a^5b^3-14a^2b^2+35ab is 7ab(7a^4b^2-2ab+5)