Advertisements
Advertisements
Question
Factorise: a2 + 4a + 4 - b2
Sum
Solution
a2 + 4a + 4 - b2
....[(a + b)2 = a2 + 2ab + b2]
....[a2 - b2 = (a + b)(a - b)]
= (a)2 + 2 × a × 2 + (2)2 - (b)2
= (a + 2)2 - (b)2
= (a + 2 + b) (a + 2 - b)
= (a + b + 2) (a - b + 2)
shaalaa.com
Factorisation by Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise: 16 - 9x2
Factorise: 4x2 - 81y2
Factorise: 1 - 25 (a+ b)2
Factorise: 4(2a + b)2 - (a - b)2
Factorise: `(7 3/10)^2 - (2 1/10)^2`
factorise: x2 + 6x + 9 - 4y2
factorise : 25(2x - y)2 - 16(x - 2y)2
factorise : 16(5x + 4)2 -9(3x - 2)2
Factorise: `9x^2 - 1/16`
Factorise: 15(2x - y)2 - 16(2x - y) - 15
