SOLUTION: could you please help me solve this problem and also, explain in detail in the math problem of how you solved it. (4x-3y(squared))squared

Algebra ->  Linear-equations -> SOLUTION: could you please help me solve this problem and also, explain in detail in the math problem of how you solved it. (4x-3y(squared))squared      Log On


   

Question 206945: could you please help me solve this problem and also, explain in detail in the math problem of how you solved it. (4x-3y(squared))squared
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
(4x-3y(squared))squared
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i think what you are asking is (4x-3y^2)^2 which looks like %284x-3y%5E2%29%5E2
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this is equivalent to (4x-3y^2)*(4x-3y^2) which looks like %284x-3y%5E2%29%2A%284x-3y%5E2%29
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breaking this down yields the following:
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(-3y^2) * (-3y^2) = 9y^4 which looks like %28-3y%5E2%29+%2A+%28-3y%5E2%29+=+9y%5E4
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(-3y^2) * (4x) = -12x*y^2 which looks like %28-3y%5E2%29+%2A+%284x%29+=+-12x%2Ay%5E2
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(4x) * (-3y^2) = -12x*y^2 which looks like %284x%29+%2A+%28-3y%5E2%29+=+-12x%2Ay%5E2
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(4x) * (4x) = 16x^2 which looks like %284x%29+%2A+%284x%29+=+16x%5E2
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if you add all these piece parts together, then our answer is:
16x^2 - 24xy^2 + 9y^4 which looks like 16x%5E2+-+24xy%5E2+%2B+9y%5E4