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Q: X4 plus y4 divided by x plus y?

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(x2 + y2)(x + y)(x - y) = x4 - y4.

x2 + y4 + x4 +y2 = x6 + y6unless you know what x and y are.* * * * *x2 + y4 + x4 + y2 ??I don't believe that this expression can be factorised or otherwise simplified.It certainly does not equal x6 + y6,for all x and all y:for example, if x = y = 1, thenx2 + y4 + x4 + y2 = 4, whilstx6 + y6 = 2;thus, they are two manifestly unequal quantities.

(x + y)2 = x2 + 2xy + y2 So x2 + y2 = (x + y)2 - 2xy = a2 - 2b Then (x2 + y2)2 = x4 + 2x2y2 + y4 So x4 + y4 = (x2 + y2)2 - 2x2y2 = (a2 - 2b)2 - 2b2 = a4 - 4a2b + 4b2 - 2b2 = a4 - 4a2b + 2b2

(x+y)4 = (x2+2xy+y2)2 = x4+4x3y+6x2y2+4xy3+y4

The answer to x4+x3-14x2+4x+6 divided by x-3 is x3+4x2-2x-2

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(x4 - 2x3 + 2x2 + x + 4) / (x2 + x + 1)You can work this out using long division:x2 - 3x + 4___________________________x2 + x + 1 ) x4 - 2x3 + 2x2 + x + 4x4 + x3 + x2-3x3 + x2 + x-3x3 - 3x2 - 3x4x2 + 4x + 44x2 + 4x + 40Râˆ´ x4 - 2x3 + 2x2 + x + 4 = (x2 + x + 1)(x2 - 3x + 4)

Yes.

x=y4 /2

The x is 45.7 YOU'RE WELCOME

It is a polynomial of the fourth degree in X.

2y4(16 - x4) = 2y4 (4 + x2)(4 - x2) = 2y4(4 + x2)(2 + x)(2 - x)

It is x4 + 11x3 + 41x2 + 61x + 30.

If you mean: f(x) = x4 - 3x3 + 5x2 / x2 then: f(x) = x4 - 3x3 + 5 ∴ f'(x) = 4x3 - 9x2 If you mean: f(x) = (x4 - 3x3 + 5x2) / x2 then: f(x) = x2 - 3x + 5 ∴ f'(x) = 2x - 3

x^4-x^3+x

If x = 3 and y = 4 then the answer is 2

x4 +x2 =x2 (x2+1)

x(x4+x3+x2+x+1)

4 + 24 + 16 = 44

I assume you meant x^4 + 5x^2 +10x + 12. The remainder is 28

x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)

No.

y6 x y2 y4 x y4 y2 x y2 x y4 y2 x y2 x y2 x y2

x4 - 1.We can not "solve" this as we have not been told the value of x. However, we can simplify this expression:We have an x and a minus x here which will cancel out. Likewise the x2 and x3 will cancel out with the -x2 and -x3 respectively. This therefore leaves us with just x4 - 1.

x4/12 since derivative of x4/12 is 4x3/12 or x3/3