What is factor 21a^2c^3-35ac^2+7a^2c ?

The solution to factor 21a^2c^3-35ac^2+7a^2c is 7ac(3ac^2-5c+a)

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factor 21a^2c^3-35ac^2+7a^2c

factor

21 a^{2} c^{3} - 35 a c^{2} + 7 a^{2} c

7 a c (3 a c^{2} - 5 c + a)

Solution steps

21 a^{2} c^{3} - 35 a c^{2} + 7 a^{2} c

Apply exponent rule:

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

a^{2} c^{3} = aa c c^{2}, a c^{2} = a cc, a^{2} c = aa c

= 21 aa c c^{2} - 35 a cc + 7 aa c

Rewrite

- 35

5 \cdot 7

Rewrite

21

3 \cdot 7

= 3 \cdot 7 aa c c^{2} + 5 \cdot 7 a cc + 7 aa c

Factor out common term

7 a c

= 7 a c (3 a c^{2} - 5 c + a)

- 6 x < 42

5 (x + 9)^{2} - 16 = - 6

∣ x - 5 ∣ \leq x - 1

- 3 (x + 4) + 15 = 6 - 4 x

x^{3} + 11 x^{2} + 31 x + 21

What is factor 21a^2c^3-35ac^2+7a^2c ?
The solution to factor 21a^2c^3-35ac^2+7a^2c is 7ac(3ac^2-5c+a)