Advertisements
Advertisements
प्रश्न
Factorise the following by the difference of two squares:
16a4 - 81b4
बेरीज
Advertisements
उत्तर
16a4 - 81b4
= (4a2)2 - (9b2)2
= (4a2 - 9b2)(4a2 + 9b2)
= [(2a)2 - (3b)2](4a2 + 9b2)
= [(2a - 3b)(2a + 3b)](4a2+ 9b2)
= (2a - 3b)(2a + 3b)(4a2 + 9b2).
shaalaa.com
Method of Factorisation : Difference of Two Squares
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Factorise:
9(a − 2)2 − 16(a + 2)2
Factorise : a4 - 1
Factorise : (a + b)3 - a - b
Factorise : 4a2 - 49b2 + 2a - 7b
Factorise : 4x4 - x2 - 12x - 36
Factorise the following by the difference of two squares:
64x2 - 121y2
Factorise the following by the difference of two squares:
441 - 81y2
Factorise the following by the difference of two squares:
625 - b2
Factorise the following by the difference of two squares:
8xy2 - 18x3
Factorise the following:
(x2 + y2 – z2)2 – 4x2y2
