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Popular >

factor (a+2)^2-100

Solution

factor

(a + 2)^{2} - 100

Solution

(a + 12) (a - 8)

Solution steps

(a + 2)^{2} - 100

Factor the number:

100 = 1 0^{2}

= (a + 2)^{2} - 1 0^{2}

Apply Difference of Two Squares Formula:

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

(a + 2)^{2} - 1 0^{2} = ((a + 2) + 10) ((a + 2) - 10)

= ((a + 2) + 10) ((a + 2) - 10)

Simplify

((a + 2) + 10) ((a + 2) - 10) : (a + 12) (a - 8)

= (a + 12) (a - 8)

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Frequently Asked Questions (FAQ)

What is factor (a+2)^2-100 ?
The solution to factor (a+2)^2-100 is (a+12)(a-8)