(1)(9.5^2)+9.5+0.25简便运算 (2)分解因式(x²+1)²-10(x²+1)+25
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 08:04:40
![(1)(9.5^2)+9.5+0.25简便运算 (2)分解因式(x²+1)²-10(x²+1)+25](/uploads/image/z/2539051-43-1.jpg?t=%EF%BC%881%EF%BC%89%289.5%5E2%29%2B9.5%2B0.25%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97+%EF%BC%882%EF%BC%89%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%88x%26%23178%3B%2B1%EF%BC%89%26%23178%3B-10%EF%BC%88x%26%23178%3B%2B1%EF%BC%89%2B25)
(1)(9.5^2)+9.5+0.25简便运算 (2)分解因式(x²+1)²-10(x²+1)+25
(1)(9.5^2)+9.5+0.25简便运算 (2)分解因式(x²+1)²-10(x²+1)+25
(1)(9.5^2)+9.5+0.25简便运算 (2)分解因式(x²+1)²-10(x²+1)+25
(1)(9.5^2)+9.5+0.25简便运算
=9.5^2+2*0.5*9.5+0.5^2
=(9.5+0.5)^2
=100
(2)分解因式(x²+1)²-10(x²+1)+25
=(x^2+1-5)^2
=(x^2-4)^2
=(x+2)^2*(x-2)^2
⑴ 9.5^2+9.5+0.25
= 9.5^2+(9.5×0.5+9.5×0.5)+0.5×0.5
=9.5^2+9.5×0.5+9.5×0.5+0.5×0.5
=9.5×(9.5+0.5)+0.5×(9.5+0.5)
=9.5×10+0.5×10
...
全部展开
⑴ 9.5^2+9.5+0.25
= 9.5^2+(9.5×0.5+9.5×0.5)+0.5×0.5
=9.5^2+9.5×0.5+9.5×0.5+0.5×0.5
=9.5×(9.5+0.5)+0.5×(9.5+0.5)
=9.5×10+0.5×10
=95+5
=100
⑵ (x²+1)²-10(x²+1)+25
=(x²+1)²-(5+5)(x²+1)+5×5
=(x²+1)²-5(x²+1)-5(x²+1)+5×5
=(x²+1)[(x²+1)-5] - 5[(x²+1)-5]
=[(x²+1)-5] × [(x²+1)-5]
=[(x²+1)-5]²
=(x²-4)²
PS:或者化简为:(x+2)²(x-2)²
收起
(9.5^2)+9.5+0.25
=﹙9.5﹚²+9.5+¼
=﹙9.5+½﹚²
=﹙9.5+0.5﹚²=1
(x²+1)²-10(x²+1)+25 设x²+1=t
=t²-10t+25
=﹙t-5﹚²
=﹙x²+1-5﹚²
=﹙x²-4﹚²