## miraclelovesyouu 2 years ago Please Help With Factoring. 81m^4 + 72m^2n +16n^2

1. miraclelovesyouu

Can Youu Explain Please.?

2. Kanwar245

\[(9m ^{2}+4n)^{2}\]

3. miraclelovesyouu

Still Not Understanding...

4. jeevan.sukh

\[(a + b)^{2} = a ^{2} + 2ab + b ^{2}\]

5. cwrw238

compare your expression with the one that jeevan posted

6. cwrw238

a^2 = 81m^4 so a = 9m^2 now do the same with b^2 = 16n^2

7. miraclelovesyouu

I Really Need An Explanation, Step To Step.

8. cwrw238

can you see what b = ?

9. miraclelovesyouu

No.

10. cwrw238

having found b you substitute the values you ve found for a and b into (a + b)^2

11. Mertsj

|dw:1362787677310:dw|

12. Mertsj

You must figure out numbers that will work. Numbers that when multiplied = 16

13. miraclelovesyouu

Will The Answer Be 9m^2+8n)^2

14. Mertsj

no 8 times 8 is not 16

15. cwrw238

b^2 = 16n^2 take square root of both sides: b = 4n

16. Luis_Rivera

81m^(4)+72m^(2)*n+16n^(2) 81m^(4)+72m^(2)n+16n^(2) (9m^(2)+4n)(9m^(2)+4n) (9m^(2)+4n)^(2)

17. miraclelovesyouu

Okay I Think I Get It.

18. cwrw238

good

19. miraclelovesyouu

Thank Youu.

20. cwrw238

welcome