What is factor 12(x-3y)^2+17(x-3y)-7 ?

The solution to factor 12(x-3y)^2+17(x-3y)-7 is (3(x-3y)-1)(4(x-3y)+7)

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factor 12(x-3y)^2+17(x-3y)-7

factor

12 (x - 3 y)^{2} + 17 (x - 3 y) - 7

(3 (x - 3 y) - 1) (4 (x - 3 y) + 7)

Solution steps

12 (x - 3 y)^{2} + 17 (x - 3 y) - 7

Break the expression into groups

= (12 (x - 3 y)^{2} - 4 (x - 3 y)) + (21 (x - 3 y) - 7)

Factor out

4 (x - 3 y)

from

12 (x - 3 y)^{2} - 4 (x - 3 y) : 4 (x - 3 y) (3 (x - 3 y) - 1)

Factor out

7

from

21 (x - 3 y) - 7 : 7 (3 (x - 3 y) - 1)

= 4 (x - 3 y) (3 (x - 3 y) - 1) + 7 (3 (x - 3 y) - 1)

Factor out common term

3 (x - 3 y) - 1

= (3 (x - 3 y) - 1) (4 (x - 3 y) + 7)

\frac{f ( x + h ) - f ( x )}{h}

a - 7 + 7 b c - ab c

\frac{( 3 d ) ^{2}}{d ^{2}}

x + (- 17)

x^{2} + 2 x + 3 i z a r

What is factor 12(x-3y)^2+17(x-3y)-7 ?
The solution to factor 12(x-3y)^2+17(x-3y)-7 is (3(x-3y)-1)(4(x-3y)+7)