Question

factorise a2+4a+4


plz tell fast​

Answer 1

Appropriate Question -

• Factorise a² + 4a + 4.

What to do -

• Factorise a² + 4a + 4.

Step-by-step explanation -

• Here, we are asked to factorise a² + 4a + 4.

Procedure -

We notice that this expression is in the form of "x² + px + q", where p and q are integers.

• If we want to factorise the trinomial of the form x² + px + q, we need to find two integers a and b such that a + b = p and ab = q.

• When the expression has an even number of terms, we need to use the grouping method for factorising it.

Using the given procedure -

$\longmapsto$ a² + 4a + 4

$\longmapsto$ a² + 2a + 2a + 4

$\longmapsto$ a (a + 2) + 2 (a + 2)

$\longmapsto$ (a + 2) (a + 2)

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V E R I F I C A T I O N -

• To check our answer, let's multiply (a + 2) with (a + 2) and see whether we get a² + 4a + 4.

$\hookrightarrow$ (a + 2) (a + 2)

$\hookrightarrow$ a (a + 2) + 2 (a + 2)

$\hookrightarrow$ a² + 2a + 2a + 4

$\hookrightarrow$ a² + 4a + 4

We get a² + 4a + 4 on multiplying (a + 2) with (a + 2).

Hence verified!!

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