Question

need help

(x^3+y^2)(x^3-y^2)

can someone help me figure this out and explain?

Answer 1

you have to do four multiplications

Answer 2

I need to multiply

Answer 3

\[x^3\times x^3\] is the first one

Answer 4

x^6? do I add the exponents?

Answer 5

then \(x^3\times (-y^2)\)

Answer 6

yes

Answer 7

then \(x^3\times y^2\)

Answer 8

and finally \(y^2\times (-y)^2\)

Answer 9

x^6-y^4?

Answer 10

you will notice that middle terms add up to zero, so you are only left with
\[x^6-y^4\]

Answer 11

yes

Answer 12

it is always true that \((a+b)(a-b)=a^2-b^2\)

Answer 13

see, all I need is confidence and your great guidings! :) I might make it after all. LOL

Answer 14

you can also use a table to help you multiply