Question

$x {}^{2} + x + \frac{1}{4}$
Factorise the following expressions using algebraic identites​

Answer 1

Answer:

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Step-by-step explanation:

→ Common factor

→ x² + x + 1/4

→ 1/4(4x² + 4x + 1)

→ Use the sum and product pattern

→ 1/4(4x² + 4x + 1)

→ 1/4(4x² + 2x + 2x + 1)

→ Common factor from two pairs

→ 1/4(4x² + 2x + 2x + 1)

→ 1/4(2x(2x+1) + 2x + 1)

→ 1/4(2x + 1)²