(1)(a-0.5)^2(a+0.5)^2 (2)因式分解3x^2-7x+2(3)(m^2+n^2)^2-4m^2n^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 17:37:25
(1)(a-0.5)^2(a+0.5)^2 (2)因式分解3x^2-7x+2(3)(m^2+n^2)^2-4m^2n^2

(1)(a-0.5)^2(a+0.5)^2 (2)因式分解3x^2-7x+2(3)(m^2+n^2)^2-4m^2n^2
(1)(a-0.5)^2(a+0.5)^2 (2)因式分解3x^2-7x+2(3)(m^2+n^2)^2-4m^2n^2

(1)(a-0.5)^2(a+0.5)^2 (2)因式分解3x^2-7x+2(3)(m^2+n^2)^2-4m^2n^2
(1)(a-0.5)^2(a+0.5)^2
=[(a-0.5)(a+0.5)]^2
=(a^2-0.25)^2
=a^4-0.5a^2+0.0625
(2)因式分解
3x^2-7x+2
=(3x-1)*(x-2)
(3)(m^2+n^2)^2-4m^2n^2
=[(m^2+n^2)+2mn][(m^2+n^2)-2mn]
=(m+n)^2*(m-n)^2

(1)原式=【(a-0.5)(a+0.5)】2=(a2-0.25)2
(2)原式=(X-2)(3X-1)
(3)原式=m4+2*m2n2+n4-4*m2n2=m4-2*m2n2+n4=(m2-n2)2

(a-0.5)^2(a+0.5)^2
=(a^2-a+0.5^2)(a^2+a+0.5^2)
=((a+0.5)(a-0.5)-a)(a^2+a+0.5^2)
=((a+0.5)(-0.5))(a^2+a+0.5^2)
=(-0.5a-0.25)(a^2+a+0.5^2)
3x^2-7x+2
=(3x-1)(x-2)
(m^2+...

全部展开

(a-0.5)^2(a+0.5)^2
=(a^2-a+0.5^2)(a^2+a+0.5^2)
=((a+0.5)(a-0.5)-a)(a^2+a+0.5^2)
=((a+0.5)(-0.5))(a^2+a+0.5^2)
=(-0.5a-0.25)(a^2+a+0.5^2)
3x^2-7x+2
=(3x-1)(x-2)
(m^2+n^2)^2-4m^2n^2
=(m^2+n^2)^2-(2m^2n)^2
=(m^2+n^2+2m^2n)(m^2+n^2-2m^2n)
=(m^2+n^2+2m^2n)(m^2-2m^2n+n^2)
=(m^2+n^2+2m^2n)((m+2m^n)(m-2m^n+n^2))

收起