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Popular >

factor (x-2)^2-25

Solution

factor

(x - 2)^{2} - 25

Solution

(x + 3) (x - 7)

Solution steps

(x - 2)^{2} - 25

Factor the number:

25 = 5^{2}

= (x - 2)^{2} - 5^{2}

Apply Difference of Two Squares Formula:

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

(x - 2)^{2} - 5^{2} = ((x - 2) + 5) ((x - 2) - 5)

= ((x - 2) + 5) ((x - 2) - 5)

Simplify

((x - 2) + 5) ((x - 2) - 5) : (x + 3) (x - 7)

= (x + 3) (x - 7)

Popular Examples

2-4(x+1)>= 2(x-1)-18

2 - 4 (x + 1) \geq 2 (x - 1) - 18

simplify log_{2}(2/3)simplify

lo g_{2} (\frac{2}{3})

-5<((4-3x))/2 <1

- 5 < \frac{( 4 - 3 x )}{2} < 1

simplify-|2|simplify

- ∣ 2 ∣

9(4a-2)=12(3a+8)

9 (4 a - 2) = 12 (3 a + 8)

Frequently Asked Questions (FAQ)

What is factor (x-2)^2-25 ?
The solution to factor (x-2)^2-25 is (x+3)(x-7)