Question

(1) (C^2+ab)^2 - (a+b)^2乘以C^2

Answer 1

(1)(C^2+ab)^2 - (a+b)^2C^2

=[c^2+ab+(a+b)c][c^2+ab-(a+b)c]

=(c^2+ab+ac+bc)(c^2+ab-ac-bc)

(2)a/2-32a^4

=(a/2)(1-64a^3)

=(a/2)(1-4a)(1+4a+16a^2)

(3)3X^2+ 4XY - Y^2

=3[x+(√7+2)/3][x-(√7-2)/3]

(4)X^2-2√2 - 3

=x^2-(√2+1)^2

=(x+√2+1)(x-√2-1)

(5)2X^3 - 7X^2 -19X +60

=2x^3-5x^2-2x^2+5x-24x+60

=x^2(2x-5)-x(2x-5)-12(2x-5)

=(2x-5)(x^2-x-12)

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