Question

Factorise the following:
4x^2+4x+1

Answer 1

${4x}^{2} + 4x + 1 = 0 \\ {4x}^{2} + 2x + 2x + 1 = 0 \\ 2x(2x + 1) + 1(2x + 1) = 0 \\ (2x + 1)(2x + 1) = 0 \\ 2x + 1 = 0 \\ 2x = - 1 \\ x = \frac{ - 1}{2}$

Hence, the roots are -1/2

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