15 Find the coefficient of x2 in the expansion of
(x2 + x + 1)2 + (x2 - x + 1)2.
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Step-by-step explanation:
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Step-by-step explanation:
(x2 + x + 1)2 + (x2 - x + 1)2.
firstly expand it
= (x2 + x + 1)(x2 + x + 1) + (x2 - x + 1) (x2 - x + 1)
= x2(x2 + x + 1)+x(x2 + x + 1)+1(x2 + x + 1)+x^2(x2 - x + 1)-x(x2 - x + 1)+1(x2 - x + 1)
= x^4+x^3+x^2+x^3+x^2+x+x2 + x +1+x^4-x^3+x^2-
-x^3+x^2-x+x2 - x +1
= 2x^4+6x^2+x+2
coefficient of x2 is 6
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