Question

x^2-49y^2

Answer 1

can you help me solve this problem

Answer 2

I see that this is difference of squares \(x^2 - (7y)^2\)

\(\Large \color{Black}{\Rightarrow a^2 - b^2 = (a + b)(a - b) \Leftrightarrow x^2 - (7y)^2 = (x+7y)(x-7y) }\)

Answer 3

This just makes me more confused even more than I was before

Can you explain it

Answer 4

ok step by step

Answer 5

yes

Answer 6

\(49y^2 = (7y)^2, agree?\)

Answer 7

agree

Answer 8

Then the expression would become \(x^2 - (7y)^2. \text{Agree again?}\)

Answer 9

Yes

Answer 10

\(a^2 - b^2 = (a + b)(a - b). Agreement?\)

Answer 11

Similarly, \(x^2 - (7y)^2 = (x + 7y)(x - 7y)\)

Answer 12

agreement confused

Answer 13

Lol. See, when you multiply a + b and a - b, you get \(a^2 - b^2.\)

Answer 14

\(\Large \color{Black}{\Rightarrow (a + b)\times (a - b) }\)
\(\Large \color{Black}{\Rightarrow a(a - b) + b(a - b) }\)
\(\Large \color{Black}{\Rightarrow a^2 - ab + ab - b^2 }\)
\(\Large \color{Black}{\Rightarrow a^2 - b^2 }\)

Answer 15

wouldn't that be ab then instead of a^2-b^2

Answer 16

I just did it for you.

Answer 17

I see now

Answer 18

Ok :)

Answer 19

Let's move on ok

Answer 20

Hmm so that's it.

Answer 21

If you multiply x + 7y and x - 7y you'll get x^2 - 49y

Answer 22

wow that was easy, say do you have any one of those staples easy buttons?

Answer 23

\(\Large \color{Black}{\Rightarrow (x + 7y) \times (x -7y)}\)
\(\Large \color{Black}{\Rightarrow x(x - 7y) + 7y(x - 7y)}\)
\(\Large \color{Black}{\Rightarrow x^2 - 7xy + 7xy - 49y^2 }\)
\(\Large \color{Black}{\Rightarrow x^2 - 49y^2 }\)

Lol what is that?

Answer 24

You know the staples motto right?