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Popular >

factor 4-a^2-2ab-b^2

Solution

factor

4 - a^{2} - 2 ab - b^{2}

Solution

- (a + b + 2) (a + b - 2)

Solution steps

4 - a^{2} - 2 ab - b^{2}

= (- a^{2} + 4) + (- 2 ab - b^{2})

Factor out

- 1

from

- a^{2} + 4 : - (a^{2} - 4)

Factor out

- b

from

- 2 ab - b^{2} : - b (2 a + b)

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

Factor out

- 1

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

Remove parentheses:

(a) = a

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

Expand

a^{2} - 4 + b (2 a + b) : a^{2} - 4 + 2 ab + b^{2}

= - (a^{2} - 4 + 2 ab + b^{2})

Factor

a^{2} - 4 + 2 ab + b^{2} : (a + b + 2) (a + b - 2)

= - (a + b + 2) (a + b - 2)

Popular Examples

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\frac{1}{2} (2 x + 1) - \frac{2}{3} (x - 2) = \frac{1}{6}

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- 6 k + 7 k

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Frequently Asked Questions (FAQ)

What is factor 4-a^2-2ab-b^2 ?
The solution to factor 4-a^2-2ab-b^2 is -(a+b+2)(a+b-2)