Algebra help anyone please?

2009-05-08 4:58 pm
Determine whether the polynomial is a difference of squares and if it is, factor it
y^2 - 25


not a difference of squares

is a difference of squares: (y - 5)^2

is a difference of squares: (y + 5)(y - 5)

is a difference of squares: (y + 5)^2

回答 (8)

2009-05-08 5:03 pm
✔ 最佳答案
is a difference of squares: (y + 5)(y - 5) is the answer

simplification of y^2 - 25 = y^2 - 5^2

which is of the form a^2 - b^2 = (a+b) * (a-b).
2009-05-08 5:09 pm
a^2 - b^2 ≡ (a + b)(a - b)

y^2 - 25
= y^2 - 5^2 (it is a difference of squares)
= (y + 5)(y - 5)
2009-05-08 5:08 pm
Simplifying
y2 + -25

Reorder the terms:
-25 + y2

Factor a difference between two squares.
(5 + y)(-5 + y)Final result:(5 + y)(-5 + y)
2009-05-08 5:05 pm
(y + 5)(y - 5)
is the answer to your question
2009-05-08 5:05 pm
it is a difference of two squares...
y? because it is only composed of 2 terms, and is having the "minus" sign.. y2 and 25 are perfect squares.. y2 a sq of y, 25 sq of 5..

bearing in mind it is difference, then the signs of the factors are opposing, giving them a product of negative or minus sign..



y-5,(y+5)


hope you got it!!
2009-05-08 5:04 pm
y^2-25=(y-5)(y+5)

it is an Identity.
2009-05-08 5:02 pm
=(y-5)(y+5)
2009-05-08 5:03 pm
thats easy do it step by step


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