因式分解题目~
\u56e0\u5f0f\u5206\u89e3\u9898\u76ee12x²-29x+15
=12x²-20x-9x+15
=4x(3x-5)-3(3x-5)
=(3x-5)(4x-3)
12x²-23x-24
=12x²-32x+9x-24
=4x(3x-8)+3(3x-8)
=(3x-8)(4x+3)
4x²-6ax-18a²
=2(2x²-3ax-9a²)
=2(2x+3a)(x-3a)
30n"b - 87nb + 30b
= 3b( 10n" - 29n + 10 )
= 3b( 10n" - 25n - 4n + 10 )
= 3b[ 5n( 2n - 5 ) - 2( 2n - 5 ) ]
= 3b( 2n - 5 )( 5n - 2 )
\u3010\u3011\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u5206\u89e3\u56e0\u5f0f\u7684\u6280\u5de7\u548c\u7a8d\u95e8\uff0c
\u5c31\u662f\u5341\u5b57\u76f8\u4e58\u6cd5\uff0c\u7ed3\u5408\u5206\u7ec4\u5206\u89e3\u6cd5\u4e00\u540c\u4f7f\u7528\uff0c
\u6b63\u5982 x" + (a + b)x + ab = ( x + a )( x + b )
\u4e2d\u95f4\u7684\u4e00\u6b21\u9879 mx = (a+b)x \uff0c\u9996\u5148\u4e00\u5206\u4e3a\u4e8c\uff0c\u62c6\u5f00\u53d8\u6210 ax + bx \uff0c
\u63a5\u4e0b\u6765\u628a\u56db\u4e2a\u9879\uff0c\u5206\u4e24\u7ec4\u63d0\u516c\u56e0\u5f0f\uff0c\u505a\u8d77\u6765\u5c31\u8f7b\u677e\u591a\u4e86\uff1b
\u3010\u3011\u5173\u952e\u5c31\u662f\u5148\u770b\u5e38\u6570\u9879\u7684\u6b63\u8d1f\uff0c\u51b3\u5b9a\u4e00\u6b21\u9879\u600e\u6837\u4e00\u5206\u4e3a\u4e8c\uff0c
\u5e38\u6570\u9879\u4e0d\u53d8\uff0c\u53ea\u662f\u4e00\u6b21\u9879\u53d8\u6210\u76f8\u53cd\u6570\uff0c\u4e00\u6b21\u9879\u4e00\u5206\u4e3a\u4e8c\u7684\u7edd\u5bf9\u503c\u5c31\u4e0d\u53d8\uff1b
\u4e00\u6b21\u9879\u4e0d\u53d8\uff0c\u53ea\u8981\u5e38\u6570\u9879\u53d8\u6210\u76f8\u53cd\u6570\uff0c\u4e00\u6b21\u9879\u5c31\u8981\u6539\u53d8\u4e00\u5206\u4e3a\u4e8c\u7684\u65b9\u5f0f\uff1b
\u3010\u3011\u5982\u679c\u5e38\u6570\u9879\u662f\u6b63\u6570\uff0c
\u4e00\u6b21\u9879\u5c31\u662f\u62c6\u5f00\u4e24\u4e2a\u7edd\u5bf9\u503c\u6bd4\u539f\u6765\u5c0f\u7684\u4e24\u4e2a\u9879\uff1b
\u3010\u3011\u5982\u679c\u5e38\u6570\u9879\u662f\u8d1f\u6570\uff0c
\u4e00\u6b21\u9879\u7cfb\u6570\u5c31\u662f\u5206\u5f00\u4e24\u4e2a\u9879\u7684\u76f8\u5dee\u6570\uff1b
\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u5206\u89e3\u56e0\u5f0f\uff0c
\u5173\u952e\u5c31\u770b c \u4e0e a \u7684\u6b63\u8d1f\uff0c
\u53ea\u8981\u719f\u6089\u8fd9\u4e2a\u65b9\u6cd5\uff0c
x" + bx + c\uff0c
ax" + bx + c\uff0c
ax" + bxy + cy"\uff0c
\u6211\u4eec\u90fd\u540c\u6837\u505a\u5f97\u65b9\u4fbf\u3002
=(x^n+3)²-y²
=(x^n+3+y)(x^n+3-y)
x²(x²+y²)-2y^4
=x^4+x²y²-2y^4
=(x²+2y²)(x²-y²)
=(x²+2y²)(x+y)(x-y)
x²+3x-(a²+a-2)
=不能分解
m³+4m^4-5-20m
=m³(4m+1)-5(4m+1)
=(4m+1)(m³-5)
a^4-27a²b²+b^4
=(a²-b²)²-25a²b²
=(a²+5ab-b²)(a²-5ab-b²)
x^2n+6x^n-y²+9
=x^2n+6x^n+9-y²
=(x^n+3)²-y²
=(x^n+3-y)(x^n+3+y)
x²(x²+y²)-2y^4
=x^4+x²y²-2y^4
=(x²+2y²)(x²-y²)
=(x²+2y²)(x-y)(x+y)
x²+3x-(a²+a-2)
不可以因式分解
m^3+4m^4-5-20m
=m^3(1+4m)-5(1+4m)
=(m^3-5)(1+4m)
a^4-27a²b²+b^4
=a^4+2a²b²+b^4-29a²b²
=(a²+b²)²-29a²b²
=(a²+b²-ab√29)(a²+b²+ab√29)
x^2n+6x^n-y²+9
=(x^n+3)^2-y^2
=(x^n+3+y)(x^n+3-y)
x²(x²+y²)-2y^4
=x^4+x^2y^2-2y^4
=(x^2+2y^2)(x^2-y^2)
=(x^2+2y^2)(x+y)(x-y)
x²+3x-(a²+a-2)
=x^2+3x-(a+2)(a-1)
=(x+a+2)*(x-a+1)
m³+4m^4-5-20m
=m^3(1+4m)-5(1+4m)
=(m^3-5)(1+4m)
a^4-27a²b²+b^4
=a^4-2a²b²+b^4-25a²b²
=(a^2-b^2)^2-25a²b²
=(a^2-b^2+5ab)(a^2-b^2-5ab)
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绛旓細50閬鍥犲紡鍒嗚В鍜岀瓟妗 2.3a3b2c锛6a2b2c2锛9ab2c3锛3ab^2 c(a^2-2ac+3c^2)3.鍥犲紡鍒嗚Вxy锛6锛2x锛3y锛(x-3)(y-2)4.鍥犲紡鍒嗚Вx2(x锛峺)锛媦2(y锛峹)锛(x+y)(x-y)^2 5.鍥犲紡鍒嗚В2x2锛(a锛2b)x锛峚b锛(2x-a)(x+b)6.鍥犲紡鍒嗚Вa4锛9a2b2锛漚^2(a+3b)(a-3b)7.鑻ュ凡鐭3...
