Pls tell the answer : q) Evaluate: or factorise; 16x^2 +8x+1 pls answe – InterviewSolution

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Pls tell the answer : q) Evaluate: or factorise; 16x^2 +8x+1 pls answer

Answer»

$Given \: Quadratic \: polynomial : \\16x^{2} + 8x + 1$

$16x^{2} + 8x + 1\\ = (4x)^{2} + 2 \times (4x) \times 1 + 1^{2}$

$\boxed { \pink { Since, a^{2} +2ab + b^{2} = (a+b)^{2} }}$

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

$\red { Factors \:of \:16x^{2} + 8x + 1 } \green {= ( 4x + 1 )(4x + 1)}$

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