Question

b. (x + 8)² – 2(x +8)(x -2) + (x -2)²

c. x²(x – 4)(x + 4) – (x² + 1)(x²- 1)                 d. (x+1)(x² – x + 1) – (x – 1)(x² +x +1)

Answer 1

\(b,=\left(x+8-x+2\right)^2=100\\ c,=x^2\left(x^2-16\right)-x^4+1=x^4-16x^2-x^4+1=1-16x^2\\ d,=x^3+1-x^3+1=2\)

Answer 2

b) \(=\left(x+8-x+2\right)^2=10^2=100\)

c) \(=x^2\left(x^2-16\right)-\left(x^4-1\right)=x^4-16x^2-x^4+1=1-16x^2\)

d) \(=x^3+1-x^3+1=2\)