What is factor (3c-5)^2-16c^2 ?

The solution to factor (3c-5)^2-16c^2 is -(7c-5)(c+5)

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factor (3c-5)^2-16c^2

factor

(3 c - 5)^{2} - 16 c^{2}

- (7 c - 5) (c + 5)

Solution steps

(3 c - 5)^{2} - 16 c^{2}

Simplify

16 c^{2} : (4 c)^{2}

= (3 c - 5)^{2} - (4 c)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(3 c - 5)^{2} - (4 c)^{2} = ((3 c - 5) + 4 c) ((3 c - 5) - 4 c)

= ((3 c - 5) + 4 c) ((3 c - 5) - 4 c)

Simplify

((3 c - 5) + 4 c) ((3 c - 5) - 4 c) : (7 c - 5) (- c - 5)

= (7 c - 5) (- c - 5)

Factor

- c - 5 : - (c + 5)

= (7 c - 5) (- (c + 5))

Apply rule:

a (- b) = - ab

(7 c - 5) (- (c + 5)) = - (7 c - 5) (c + 5)

= - (7 c - 5) (c + 5)

∣ x - 1 ∣ > 8

7 x - 7 = 12 x + 13

8 q - 5 = 27

(5 y)^{2}

9 = 8 n

What is factor (3c-5)^2-16c^2 ?
The solution to factor (3c-5)^2-16c^2 is -(7c-5)(c+5)