Question

Factorise a² + 4a +
4​

Answer 1

Answer:

a² + 4a + 4 =0

a² + ( 2 + 2)a + 4 =0

a² + 2a + 2a + 4 = 0

a( a + 2 ) + 2( a + 2) =0

(a + 2) ( a + 2) =0

Answer 2

Solution :-

Identity Method :-

→ a² + 4a + 4

→ a² + 2 * 2 * a + 4

comparing middle term with 2ab we get,

→ 2ab = 2 * 2 * a

→ b = 2

So,

→ (a)² + 2 * 2 * a + (2)²

using a² + 2 * a * b + (b)² = (a + b)²

→ (a + 2)²

→ (a + 2)(a + 2)

Splitting the middle term method :-

→ a² + 4a + 4

→ a² + 2a + 2a + 4

→ a(a + 2) + 2(a + 2)

→ (a + 2)(a + 2)

Learn more :-

solution of x minus Y is equal to 1 and 2 X + Y is equal to 8 by cross multiplication method

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