Question

factorise a square + 10a + 25

Answer 1

Answer :

The required answer is (a + 5)²

Step-by-step explanation :

a² + 10 a + 25

On splitting the middle term, we get ;

⇒ a² + 5a + 5a + 25

⇒ a ( a + 5 ) + 5 ( a + 5 )

Taking common both sides.

⇒ ( a + 5 ) ( a + 5 )

⇒ ( a + 5 )²

Hence, the required answer is (a + 5)²

Answer 2

${a}^{2} + 10a + 25 \\ = {a}^{2} + 5a + 5a + 25(sum \: and \: product \: method) \\ = a(a + 5) + 5(a + 5) \\ = (a + 5)(a + 5) \\ = {(a + 5)}^{2}$
$formula \: method \\ {(a + b)}^{2} = {a}^{2} + 2(a)(b) + {b}^{2} \\ =( {a + 5)}^{2}$
this will help u