$a^8-a^2b^6=a^2(a^6-b^6)\qquad\text{use}\ (x^n)^m=x^{nm}\\\\=a^2[(a^3)^2-(b^3)^2]\qquad\text{use}\ (x-y)(x+y)=x^2-y^2\\\\=a^2(a^3-b^3)(a^3+b^3)\qquad\text{use}\ x^3\pm y^3=(x\pm y)(x^2\mp xy+y^2)\\\\=\boxed{a^2(a-b)(a+b)(a^2+ab+b^2)(a^2-ab+b^2)}$

3 0

3 years ago

Mr Wong spent a total of $176 on a jacket a belt and a wallet. The wallet cost $31 more than a belt. The jacket cost 3 times as

grin007 [14]

Wallet = belt + 31
jacket = 3 · belt

176 = belt + wallet + jacket

176 = belt + (belt + 31) + (3 · belt)
176 = (2 · belt) + 31 + (3 · belt)
176 = (5 · belt) + 31
5 ·belt = 145
belt = 29

6 0

4 years ago

Read 2 more answers

Plz help fast Jack, John, Lily, and Sara want to take a picture together. In how many ways can they are arranged?

jasenka [17]

Answer:

The best estimate would be around 10-16

Step-by-step explanation:

The think is that they can be in many orders and since there is four of them it would be more orders.

Hope this helps

6 0

3 years ago