Question

a) Factorize (Using identify)
1. x2+14x+49
.
2. 4x2-8 X+3​

Answer 1

Answer: 1).   Given that: x^2 +14x+49

 =x^2+7x+7x+49,  (split middle term so that resultant is same)

  =(x^2 +7x)+(7x+49),     (group pair of terms)  

   =x(x+7)+7(x+7),          (factor each binomials)  

     =(x+7)(x+7),                (factor out common factor (x+7))

     =(x+7)^2

Aliter, use (a+b)^2=a^2 +2ab+b^2

⇒x^2 +14x+49=x ^2 +2×7x+7^ 2  =(x+7)^2

2).   4x^2 +8x+3

⇒4x^2 +6x+2x+3

⇒2x(2x+3)+1(2x+3)

⇒(2x+3)(2x+1)

hope it helps

mark as brillantest