What is factor bc^2-4b+3c^2-12 ?

The solution to factor bc^2-4b+3c^2-12 is (c+2)(c-2)(b+3)

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factor bc^2-4b+3c^2-12

factor

b c^{2} - 4 b + 3 c^{2} - 12

(c + 2) (c - 2) (b + 3)

Solution steps

b c^{2} - 4 b + 3 c^{2} - 12

= (b c^{2} - 4 b) + (3 c^{2} - 12)

Factor out

b

from

b c^{2} - 4 b : b (c^{2} - 4)

Factor out

3

from

3 c^{2} - 12 : 3 (c^{2} - 4)

= b (c^{2} - 4) + 3 (c^{2} - 4)

Factor out common term

c^{2} - 4

= (c^{2} - 4) (b + 3)

Factor

c^{2} - 4 : (c + 2) (c - 2)

= (c + 2) (c - 2) (b + 3)

e^{a} - e^{- a}

(\frac{24}{25})^{2} - (\frac{7}{25})^{2}

5 x^{2} + 12 x - 9

y^{2} - 14 y = - 47

\frac{7 a ^{2}}{15 b ^{2}} \times \frac{6 b}{5 a}

What is factor bc^2-4b+3c^2-12 ?
The solution to factor bc^2-4b+3c^2-12 is (c+2)(c-2)(b+3)