I got to 9x2+30x^2y^2+25y^2. Now how do I simplify that? Or is that correct? the answer choices are like 9x^2+25y^2, 9x^2+15xy+25y^2, plus two others. Thanks a lot.
2007-10-26 09:11:05 · 8 answers · asked by ♫ ∫aoli 4 in Science & Mathematics ➔ Mathematics
(3x + 5y)(3x + 5y)
9x² + 15xy + 15xy + 25y²
9x² + 30xy + 25y²
That`s it !
2007-10-30 08:14:42 · answer #1 · answered by Como 7 · 1⤊ 2⤋
I try to make solving math question logical and a common sense approach. So don't try to make this complicated.
This problem is a binomial raised to a power, (3x + 5y) raised to the 2nd power. The easy way to remember how to do it is called F.O.I.L. which stands for first, outer, inner, last and that pattern works even when you don't have a square.
Rewriting it, (3x + 5y)(3x + 5y).
___________F_____F
___________O_________O
________________I__I
_______________L______L
The first terms are 3x and 3x, the outer terms are 3x and 5y, the inner terms arre 5y and 3x, and the last terms are 5y and 5y. FOIL is just another way to state the distributive rule (sorry about terminology). We rewrite it as
9 x^2 + 25y^2 + 15xy + 15yx
We can add the last two terms together and get 30xy
So the final answer, though it doesn't look very simple, is
9x^2 + 30xy + 25y^2
Notice that there is a pattern. When a binomial (ax + by) is squared, the result is a trinomial, with the first term the square of ax, or a^2x^2, the second term is double the product of both terms, or 2axby and the third term is the square of by, or b^2y^2.
These kind of patterns are the common sense of math and everything in math is common sense patterns that you can recognize when you learn the language.
Learning a new language, like math, is not really unusual.
I find that my grandchildren have learned a completely new language that I do not understand that they use to text message their friends. So if you have learned text messaging shorthand, you have the ability to learn math terminology. It is just a matter of spending time to learn it.
In the language of math, the rule is called FOIL or the distributive law. Hope this helps.
2007-10-28 11:32:06 · answer #2 · answered by TheProfessor 2 · 2⤊ 1⤋
Multiply and simplify (3x+5y)^2
(3x +5y) (3x +5y) = FOIL
9x^2 +15xy + 15xy + 25y^2 = Add up
9x^2 + 30xy + 25y^2
2007-10-26 09:17:56 · answer #3 · answered by Ti-Mon 2 · 1⤊ 1⤋
the answer should be
9x^2+15xy+15xy+25y^2
then combine like terms to get
9x^2+30xy+25y^2
and that shoud be the answer cuz that how far u can simplify it
2007-10-26 09:18:43 · answer #4 · answered by Jimmy 2 · 0⤊ 0⤋
yes be careful when using FOIL.
on the inside and outside you ahve 5y * 3x + 3x * 5y. So that's 30xy, not 30x^2y^2.
So the way Kris S did it is correct. There are no common factors among these terms (number or variable) so that's the most simplified answer.
2007-10-26 09:20:37 · answer #5 · answered by elecbass100 3 · 0⤊ 2⤋
the answer is 9x^2+30xy+25y^2 and it is simplified
2007-10-26 10:18:36 · answer #6 · answered by Dave aka Spider Monkey 7 · 0⤊ 1⤋
(3x+5y)(3x+5y)
9x^2 +15xy+15xy+25y^2
You can combine like terms (xy)
9x^2+30xy+25y^2
Hopefully, this is one of the other choices.
2007-10-26 09:16:47 · answer #7 · answered by Kris S 4 · 1⤊ 2⤋
factor to get:
3x(3x + 10y) + 5y(6x+5y)
2007-10-26 09:18:47 · answer #8 · answered by Anonymous · 0⤊ 1⤋