Expert Please answer
1.) 3a4 - 48b4
2.) x2 -ax - bx - ab
3.) (n-10)2 + (10-n)
4.) d(d-5) + 7(5-d)
THanks a lot
1)
We have,
3a4 - 48b4
= 3(a4 - 16b4)
= 3[(a2)2 - (4b2)2]
= 3(a2 + 4b2)(a2 - 4b2) [Using: a2 - b2 = (a + b)(a - b)]
= 3(a2 + 4b2)(a2 - (2b)2)
= 3(a2 + 4b2)(a + 2b)(a - 2b) [Using: a2 - b2 = (a + b)(a - b)]
3)
We have,
(n - 10)2 + (10 - n)
= (n - 10)2 - (n - 10)
= (n - 10) [n - 10 - 1]
= (n - 10) [n - 11)
4)
d(d-5) + 7(5-d)
= d(d - 5) - 7(d - 5)
= (d - 5)(d - 7)