Question

a² + 14a + 49 factorise​

Answer 1

Answer:

(a + 7) (a + 7)

Step-by-step explanation:

formula --->

-----------------

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

a^2 + 14a + 49

=( a )^2 + 2 (a ) ( 7 ) + ( 7 )^2

= ( a + 7 )^2

= (a+ 7) (a + 7)

Answer 2

Step-by-step explanation:

By the method of splitting the middle term,

${a}^{2} + 14a + 49 \\ {a}^{2} + 7a + 7a + 49 \\ a(a +7) + 7(a + 7) \\ (a + 7) = 0 \: or \: (a + 7) = 0 \\ a = - 7 \: or \: a = - 7$