Question

化简：（x+2)^5-(x-2)(x-3)（要详细过程）

Answer 1

（x+2)^5-(x-2)(x-3)=(x^2+4x+4)(x^2+4x+4)(x+2)-(x^2-5x+6)

=(x^4+4x^3+4x^2+4x^3+16x^2+16x+4x^2+16x+16)(x+2)-x^2+5x-6

=(x^4+8x^3+24X^2+32x+16)(x+2) -x^2+5x-6

=x^5+8x^ 4+24x^3+32x^2+16x+2x^4+16x^3+48x^2+64x+32-x^2+5x-6

=x^5+10x^4+40x^3+79x^2+85x+26