Question

Factorise (a+2b)²-a²​

Answer 1

Answer:

$\huge\colorbox{yellow}{Solution\:-}$

(a + 2b)² – a² = ( a + 2b)² – (a)²

= (a + 2b + a) (a + 2b – a)

= (2a + 2b) (2b)

= 2 (a + b) (2b)

= 2 × 2b (a + b)

= 4b (a + b)

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Answer 2

Question ⤵

Factorise (a+2b)²-a²

Answer ⤵

$(a + 2b)2 – a2 = ( a + 2b)2 – (a)2$

$= (a + 2b + a) (a + 2b – a)$

$= (2a + 2b) (2b)$

$= 2 (a + b) (2b)$

$= 2 × 2b (a + b)$

$= 4b (a + b)$

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