What is factor 8a^4b^4-28a^3b^3+4a^2b^2 ?

The solution to factor 8a^4b^4-28a^3b^3+4a^2b^2 is 4a^2b^2(2a^2b^2-7ab+1)

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factor 8a^4b^4-28a^3b^3+4a^2b^2

factor

8 a^{4} b^{4} - 28 a^{3} b^{3} + 4 a^{2} b^{2}

4 a^{2} b^{2} (2 a^{2} b^{2} - 7 ab + 1)

Solution steps

8 a^{4} b^{4} - 28 a^{3} b^{3} + 4 a^{2} b^{2}

Apply exponent rule:

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

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

= 8 a^{2} a^{2} b^{2} b^{2} - 28 a^{2} a b^{2} b + 4 a^{2} b^{2}

Rewrite

- 28

7 \cdot 4

Rewrite

8

2 \cdot 4

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

Factor out common term

4 a^{2} b^{2}

= 4 a^{2} b^{2} (2 a^{2} b^{2} - 7 ab + 1)

6 X - 5 \leq 13

4 n^{2} - 9

2 x^{3} - 12 x^{2} + 18 x

16 < x - 7 < 16

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

What is factor 8a^4b^4-28a^3b^3+4a^2b^2 ?
The solution to factor 8a^4b^4-28a^3b^3+4a^2b^2 is 4a^2b^2(2a^2b^2-7ab+1)