What is factor 21a^3b^3-14a^2b^2+28^3b ?

The solution to factor 21a^3b^3-14a^2b^2+28^3b is 7b(3a^3b^2-2a^2b+3136)

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factor 21a^3b^3-14a^2b^2+28^3b

factor

21 a^{3} b^{3} - 14 a^{2} b^{2} + 2 8^{3} b

7 b (3 a^{3} b^{2} - 2 a^{2} b + 3136)

Solution steps

21 a^{3} b^{3} - 14 a^{2} b^{2} + 2 8^{3} b

Apply exponent rule:

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

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

= 21 b b^{2} - 14 bb + 2 8^{3} b

Rewrite

2 8^{3}

3136 \cdot 7

Rewrite

- 14

2 \cdot 7

= 3 \cdot 7 b b^{2} + 2 \cdot 7 bb + 3136 \cdot 7 b

Factor out common term

7 b

= 7 b (3 a^{3} b^{2} - 2 a^{2} b + 3136)

6 x + 3 < 21

2 x^{2} + 18 x + 40 = 0

5 (3 - x) \leq 3 x - 1

\frac{5}{8} x - 1 \leq 9

2 (5 c - 7) \geq 10 (c - 3)

What is factor 21a^3b^3-14a^2b^2+28^3b ?
The solution to factor 21a^3b^3-14a^2b^2+28^3b is 7b(3a^3b^2-2a^2b+3136)