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kaylala
 2 years ago
Look for the special product of:
[( x2 + 3y) + y2] [(x2 + 3y) – y2]
NOTE:
~ See the clearer given in the comment area
~ Group some terms to find the applicable special product.
~Follow the chain rule of special product.
~ The Final answer should be free from all symbols of grouping.
kaylala
 2 years ago
Look for the special product of: [( x2 + 3y) + y2] [(x2 + 3y) – y2] NOTE: ~ See the clearer given in the comment area ~ Group some terms to find the applicable special product. ~Follow the chain rule of special product. ~ The Final answer should be free from all symbols of grouping.

This Question is Closed

kaylala
 2 years ago
Best ResponseYou've already chosen the best response.0See the document posted above for a CLEARER VIEW of the GIVEN question

chmvijay
 2 years ago
Best ResponseYou've already chosen the best response.0can you expand it by multiplication

kaylala
 2 years ago
Best ResponseYou've already chosen the best response.0i dont know how? @chmvijay

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1Well first add the like terms .. in both groups ...

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1IS this ur question \[((x^{2}+3y)+y ^{2})((x ^{2}+3y)y ^{2}\])

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1well if so multiply every term of group ((x2+3y)+y2) with all elements of group ((x2+3y)+y2) .... done

kaylala
 2 years ago
Best ResponseYou've already chosen the best response.0so, what's the product or the final answer?

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.2My guess is that you are supposed to think of this as \[(a+b)(ab) = a^2b^2\]with \(a = (x^2+3y) , b = y^2\)

kaylala
 2 years ago
Best ResponseYou've already chosen the best response.0ok @whpalmer4 is the answer equal to: \[x ^{4}+6x ^{2}y ^{4}+9y ^{2}\]

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1@kaylala did u finish this sum....

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1well .dw:1372577408636:dw

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1u will get \[x ^{4}+3x ^{2}yx ^{2}y ^{2}+3yx ^{2}+9y ^{2}3y3+x ^{2}y ^{2}+3y ^{3}y ^{4}\]

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1simplify u will get the ans ///

kaylala
 2 years ago
Best ResponseYou've already chosen the best response.0@shkrina but this is my answer: x4+6x2−y4+9y2

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1ss rt ans ....the above eq is the eq u get after multiplying ....u can cancle 3y^3and x^2y^2/.....and add ..3x^2y ... u will get the same ans ....hope clear .....

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.2@shkrina you disregarded the instructions for this problem. Whether or not there's a different way to solve a problem, if the instructor asks for it to be done a specific way, that's the way it should be done for the purposes of learning the material. @kaylala as I said \[(a+b)(ab) = a^2b^2\] with \(a=(x^2+3y),b=y^2\) Write out \[(a+b)(ab) = a^2b^2\]That is the "special product" Now replace \(a\) on the right hand side with \((x^2+3y)\): \[a^2b^2 = (x^2+3y)^2 b^2\]Now replace \(b\) on the right hand side with \(y^2\) \[a^2b^2=(x^2+3y)^2(y^2)^2\] That was the "chain rule" of special product Now we have to expand everything to get rid of the grouping symbols. Let's do the easy one first: \[(x^2+3y)^2(y^2)^2 = (x^2+3y)^2y^4\]because \[(u^n)^m = u^{n*m}\]Now we expand the first product term by repeatedly applying the distributive property \[(x^2+3y)^2y^4 = (x^2+3y)(x^2+3y)y^4 = x^2(x^2+3y)+3y(x^2+3y)  y^4\]\[=x^2*x^2+x^2*3y + 3y*x^2+3y*3y  y^4 \]\[=x^4+3x^2y+3x^2y+9y^2y^4\]Now collect like terms \[=x^4+6x^2y+9y^2y^4\] So your answer was very close, but you somehow lost the \(y\) portion of the \(6x^2y\) term. You should revisit your work and try to figure out why you made that mistake.

shkrina
 2 years ago
Best ResponseYou've already chosen the best response.1@kaylala ,, @whpalmer4 well sorry ....i did not pay much attention to the variable ...... this time i will look through........ once again sorry ,,,,,, @kaylala in u r ans 6x^2y ,,,,not 6x^2....u missed y...... hope its clear .........
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