Algebra

Polynomial Arithmetic

Applying the Perfect Cube Identity

         

If x2=7x^2=7, what is the value of (x+3)3(x3)3?(x+3)^3-(x-3)^3?

Simplify

(2+3)3+(23)3. ( 2 + \sqrt{3})^3 + ( 2 - \sqrt{3})^3.

If 8x3512y3=(2xay)(bx2+cxy+dy2),8x^3-512y^3=(2x-ay)(bx^2+cxy+dy^2), what is the value of a+b+c+da+b+c+d?

Simplify

(4+19)3+(419)3. ( 4 + \sqrt{19})^3 + ( 4 - \sqrt{19})^3.

If x3+8=(x+a)(x2+bx+c),x^3+8=(x+a)(x^2+bx+c), what is the value of a+b+ca+b+c?

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