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Popular >

simplify 4-4(1-a)+(1-a)^2

Solution

simplify

4 - 4 (1 - a) + (1 - a)^{2}

Solution

a^{2} + 2 a + 1

Solution steps

4 - 4 (1 - a) + (1 - a)^{2}

Expand

- 4 (1 - a) : - 4 + 4 a

= 4 - 4 + 4 a + (1 - a)^{2}

Expand

(1 - a)^{2} : 1 - 2 a + a^{2}

= 4 - 4 + 4 a + 1 - 2 a + a^{2}

Group like terms

= a^{2} + 4 a - 2 a + 4 - 4 + 1

Add similar elements:

4 a - 2 a = 2 a

= a^{2} + 2 a + 4 - 4 + 1

Add the numbers:

4 - 4 + 1 = 1

= a^{2} + 2 a + 1

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Frequently Asked Questions (FAQ)

What is 4-4(1-a)+(1-a)^2 ?
The solution to 4-4(1-a)+(1-a)^2 is a^2+2a+1