What is factor 4(2-a)^2-81 ?

The solution to factor 4(2-a)^2-81 is -(-2a+13)(2a+5)

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factor 4(2-a)^2-81

factor

4 (2 - a)^{2} - 81

- (- 2 a + 13) (2 a + 5)

Solution steps

4 (2 - a)^{2} - 81

4 (2 - a)^{2} = (2 (2 - a))^{2}

81 = 9^{2}

= (2 (2 - a))^{2} - 9^{2}

Apply Difference of Two Squares Formula:

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

(2 (2 - a))^{2} - 9^{2} = (2 (2 - a) + 9) (2 (2 - a) - 9)

= (2 (2 - a) + 9) (2 (2 - a) - 9)

Simplify

(2 (2 - a) + 9) (2 (2 - a) - 9) : (- 2 a + 13) (- 2 a - 5)

= (- 2 a + 13) (- 2 a - 5)

Factor

- 2 a - 5 : - (2 a + 5)

= (- 2 a + 13) (- (2 a + 5))

Apply rule:

a (- b) = - ab

(- 2 a + 13) (- (2 a + 5)) = - (- 2 a + 13) (2 a + 5)

= - (- 2 a + 13) (2 a + 5)

\frac{12 x ^{8} y ^{5}}{8 x ^{3} y ^{4}}

x^{2} + (x + 2)^{2} = 34

7 w + 42 = 133

25 + 144

12 - 2 x \geq 2 x - 4

What is factor 4(2-a)^2-81 ?
The solution to factor 4(2-a)^2-81 is -(-2a+13)(2a+5)