What is factor (6x-5y)(3x+4)-12x-16y ?

The solution to factor (6x-5y)(3x+4)-12x-16y is 3(6x^2-5xy+4x-12y)

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factor (6x-5y)(3x+4)-12x-16y

factor

(6 x - 5 y) (3 x + 4) - 12 x - 16 y

3 (6 x^{2} - 5 x y + 4 x - 12 y)

Solution steps

(6 x - 5 y) (3 x + 4) - 12 x - 16 y

Expand

(6 x - 5 y) (3 x + 4) : 18 x^{2} + 24 x - 15 x y - 20 y

= 18 x^{2} + 24 x - 15 x y - 20 y - 12 x - 16 y

Simplify

18 x^{2} + 24 x - 15 x y - 20 y - 12 x - 16 y : 18 x^{2} - 15 x y + 12 x - 36 y

= 18 x^{2} - 15 x y + 12 x - 36 y

Rewrite

- 36

12 \cdot 3

Rewrite

12

4 \cdot 3

= 6 \cdot 3 x^{2} + 5 \cdot 3 x y + 4 \cdot 3 x + 4 \cdot 3 \cdot 3 y

Factor out common term

3

= 3 (6 x^{2} - 5 x y + 4 x - 12 y)

(x - 3) - (4 x^{2})

100 c^{2} - 20 c + 1 - 100

C_{2} + C_{2} e^{- x}

(7 t + 5) (7 t + 5)

sin (4 θ + 4) + cos (4 θ + 4)

What is factor (6x-5y)(3x+4)-12x-16y ?
The solution to factor (6x-5y)(3x+4)-12x-16y is 3(6x^2-5xy+4x-12y)