Question

find the missing term of (2× +3y)^3 = 8×3 + 36×^2y+_______+27y
A.46×y^2
B.54xy^2
C.44y^2
D.54×​
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Answer 1

Answer:

Step-by-step explanation:

You can do it with factoring by grouping. Starting with for example 18x^2 + 3yx - 10y^2, you pretend the y terms are the numerical portions of the grouping. (I rewrote 3xy as 3yx to make this more obvious.) So you need 2 terms that multiply together to make -18*10y^2, and add up to 3y. Well, looking at the factors of 180, -12 and 15 work, so -12y and 15y are the factors. That yields 18x^2 - 12yx + 15yx - 10y^2, which undistributes to 6x(3x-2y) + 5y(3x-2y), and then factoring out the 3x-2y gives (3x-2y)(6x+5y). And we are done!™

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