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Answer:
(5+8) (5-8)
Step-by-step explanation:
They are both perfect squares.
Answer:
(5+8x)(5-8x)
Step-by-step explanation:
This is a 'difference of two squares" Difference means subtraction and 25 is a perfect square and 64x^2 is a perfect square.
If you know how to factor quadratic trinomials like
ax^2 + bx + c, you can do the same thing here, using:
64x^2 +0x + 25
BUT, there's a shortcut. It is a pattern that you memorize. Since 25 is 5^2, put 5 first in the parenthesis. And since 64x^2 is 8x squared, put 8x second in the parenthesis like this:
(5 8x)
Make two of them:
(5 8x)(5 8x)
Make one a plus and one a minus.
(5 + 8x)(5 - 8x)
Done!
Well, if the directions say "factor" then you are done. If the directions say "solve" then put each piece equal to zero and solve for x.
Hope this helps!