Factorize: 4a² - 4b² + 4a + 1
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4a² - 4b² + 4a + 1
» 4a( 4a - b + 1 + 1 )
» 4a ( 4a - b + 2 )
» ( 4a - b ) ( 4a + 2 )
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4a² - 4b² + 4a + 1
» 4a( 4a - b + 1 + 1 )
» 4a ( 4a - b + 2 )
» ( 4a - b ) ( 4a + 2 )
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cutebenny63:
it's wrong
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![=>4a {}^{2} - 4b {}^{2} + 4a + 1 \\ \\ = > 4a {}^{2} + 4a + 1 - 4b {}^{2} \\ \\ = > [(2a) {}^{2} + 2(2a)(1) ]- (2b) {}^{2} \: \: \\ \\ = > (2a + 1) {}^{2} - (2b) {}^{2} \: \: \: \: \: \: [a {}^{2} + b {}^{2} + 2ab = (a + b) {}^{2} ] \\ \\ = >( 2a + 1 + 2b)(2a + 1 - 2b) =>4a {}^{2} - 4b {}^{2} + 4a + 1 \\ \\ = > 4a {}^{2} + 4a + 1 - 4b {}^{2} \\ \\ = > [(2a) {}^{2} + 2(2a)(1) ]- (2b) {}^{2} \: \: \\ \\ = > (2a + 1) {}^{2} - (2b) {}^{2} \: \: \: \: \: \: [a {}^{2} + b {}^{2} + 2ab = (a + b) {}^{2} ] \\ \\ = >( 2a + 1 + 2b)(2a + 1 - 2b)](https://tex.z-dn.net/?f=%3D%26gt%3B4a+%7B%7D%5E%7B2%7D+-+4b+%7B%7D%5E%7B2%7D+%2B+4a+%2B+1+%5C%5C+%5C%5C+%3D+%26gt%3B+4a+%7B%7D%5E%7B2%7D+%2B+4a+%2B+1+-+4b+%7B%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+%5B%282a%29+%7B%7D%5E%7B2%7D+%2B+2%282a%29%281%29+%5D-+%282b%29+%7B%7D%5E%7B2%7D+%5C%3A+%5C%3A+%5C%5C+%5C%5C+%3D+%26gt%3B+%282a+%2B+1%29+%7B%7D%5E%7B2%7D+-+%282b%29+%7B%7D%5E%7B2%7D+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5Ba+%7B%7D%5E%7B2%7D+%2B+b+%7B%7D%5E%7B2%7D+%2B+2ab+%3D+%28a+%2B+b%29+%7B%7D%5E%7B2%7D+%5D+%5C%5C+%5C%5C+%3D+%26gt%3B%28+2a+%2B+1+%2B+2b%29%282a+%2B+1+-+2b%29)
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