计算(2x-1)(2x+1)-2(x^2-2x+1)
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解决时间 2021-02-13 16:13
- 提问者网友：遁入空寂
- 2021-02-13 09:46
计算(2x-1)(2x+1)-2(x^2-2x+1)
最佳答案
- 五星知识达人网友：几近狂妄
- 2021-02-13 09:53
(2x-1)(2x+1)-2(x^2-2x+1)
=4x²-1-2x²+4x-2
=2x²+4x-3
分解因式
(1).3ab^3-30a^2b^2+75a^3b
=3ab(b²-10ab+25a²)
=3ab(b-5a)²
(2).(3m+2n)^2-4(m-6n)^2
=(3m+2n+2m-12n)(3m+2n-2m+12n)
=(5m-10n)(m+14n)
(3).-8ax^2+16axy-8ay^2
=-8a(x²-2xy+y²)
=-8a(x-y)²
(4).(a^2+1)^2-4a^2
=(a²+1+2a)(a²+1-2a)
=(a+1)²(a-1)²
已知3^x+2*5^x+2=15^3x-4，求(x-1)^2-3x(x-2)-4的值
3^x+2*5^x+2=15^3x-4
15^x+2=15^3x-4
x+2=3x-4
x=3
(x-1)^2-3x(x-2)-4
=(3-1)²-9(3-2)-4
=4-9-4
=-9
=4x²-1-2x²+4x-2
=2x²+4x-3
分解因式
(1).3ab^3-30a^2b^2+75a^3b
=3ab(b²-10ab+25a²)
=3ab(b-5a)²
(2).(3m+2n)^2-4(m-6n)^2
=(3m+2n+2m-12n)(3m+2n-2m+12n)
=(5m-10n)(m+14n)
(3).-8ax^2+16axy-8ay^2
=-8a(x²-2xy+y²)
=-8a(x-y)²
(4).(a^2+1)^2-4a^2
=(a²+1+2a)(a²+1-2a)
=(a+1)²(a-1)²
已知3^x+2*5^x+2=15^3x-4，求(x-1)^2-3x(x-2)-4的值
3^x+2*5^x+2=15^3x-4
15^x+2=15^3x-4
x+2=3x-4
x=3
(x-1)^2-3x(x-2)-4
=(3-1)²-9(3-2)-4
=4-9-4
=-9
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