What is factor 24+5(1-4x)-(1-4x)^2 ?

The solution to factor 24+5(1-4x)-(1-4x)^2 is -4(x-1)(4x+7)

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factor 24+5(1-4x)-(1-4x)^2

factor

24 + 5 (1 - 4 x) - (1 - 4 x)^{2}

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

Solution steps

24 + 5 (1 - 4 x) - (1 - 4 x)^{2}

Factor out common term

- 1

= - ((1 - 4 x)^{2} - 5 (1 - 4 x) - 24)

Factor

(1 - 4 x)^{2} - 5 (1 - 4 x) - 24 : ((1 - 4 x) + 3) ((1 - 4 x) - 8)

= - ((1 - 4 x) + 3) ((1 - 4 x) - 8)

Refine

= - (- 4 x + 4) (- 4 x - 7)

Factor

- (- 4 x + 4) (- 4 x - 7) : - 4 (x - 1) (4 x + 7)

= - (- 4 x + 4) (- 4 x - 7)

Factor

- 4 x + 4 : - 4 (x - 1)

= - (- 4 (x - 1)) (- 4 x - 7)

Factor

- 4 x - 7 : - (4 x + 7)

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

Refine

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

- 5 (ln (5)) + 5 ln (2)

\frac{d}{d t} ((q) (- 12 e^{- 2 t}))

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

d (10 x^{3})

sec (3 x) (ln (5 x))

What is factor 24+5(1-4x)-(1-4x)^2 ?
The solution to factor 24+5(1-4x)-(1-4x)^2 is -4(x-1)(4x+7)