Question

factorise x^2-2ax+a^2-b^2 by splitting the middle term

Answer 1

Answer:

Step-by-step explanation:

Type I: Factorization of Quadratic polynomials of the form x2 + bx + c. (i) In order to factorize x2 + bx + c we have to find numbers p and q such that p + q = b and pq = c. (ii) After finding p and q, we split the middle term in the quadratic as px + qx and get desired factors by grouping the terms.

Answer 2

Answer:

Given,

x

2

+2ax+(a

2

−b

2

)=0

or, x

2

+{(a+b)+(a−b)}x+(a−b)(a+b)=0

or, x(x+a+b)+(a−b)(x+a+b)=0

or, (x+a+b)(x+(a−b))=0

or, x=−(a+b),−(a−b).

hope I help you!!!