Question

1+2q+q®2. factorise step by step

Answer 1

Heyy Dear❤
Here is u r Ans ➡

$= 1 + 2q + q {}^{2}$

$= using \: > \: a {}^{2} + 2ab + b {}^{2} = (a + b) {}^{2}$

$= (1 + q) {}^{2}$

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Answer 2

$<b>Heya mate. (^_-). Solution below.$
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$<u>Method 1 - </u>$

• 1 + 2q + q²


• Rearranging the terms, we get,

= q² + 2q + 1


• Now, by midterm split method,

= q² + 2q + 1

= q² + q + q + 1

= q (q + 1) + 1 (q + 1)

= (q + 1)(q + 1)

= (q + 1)²

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$<u>Method 2 -</u>$

• 1 + 2q + q²


• Rearranging the terms, we get,

= q² + 2q + 1

= [ (q)² + (2 × q × 1) + (1)² ]


[] Using identity : a² + 2ab + b² = (a + b)²,

= (q + 1)²



$<marquee>Hence, your answer is (q + 1)².</marquee>$
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Thank you.. ;-)