例如,对于$x^3 + 3x^2 + 3x + 1$,可以将其分组为$(x^3 + 3x^2) + (3x + 1)$,然后利用公式法和提取公因式进行分解。 因式分解在解决数学问题中的应用 因式分解在解决数学问题中具有广泛应用。在代数方程中,通过因式分解可以将方程转化为更简单的形式,便于求解。在不等式证明中,...
Factorise : x^(3)+y^(3)-12xy+64 01:18 Factorise : (2x-y)^(3)-(x+y)^(3)+(2y-x)^(3) 03:42 Factorise : a^(3)+(1)/(a^(3))+(26)/(27) 02:18 Find the value of (80)^(3)-(51)^(3)-(29)^(3) 03:11 If a+b+c=9,a^(2)+b^(2)+c^(2)=27 and a^(3...
Factorise : (a^(2) - 3a)(a^(2) - 3a + 7) + 10 03:30 Factorise : (a^(2) - a)(4a^(2) -4a - 5) - 6 03:25 Factorise : x^(4) + y^(4) - 3x^(2)y^(2) 01:55 Factorise : 5a^(2) - b^(2) - 4ab + 7a - 7b 04:20 Factorise : 12(3x - 2y)^(2) - (...
解析 (x−2)(x+1)2. 结果一 题目 Factorise x3+x−2.因式分解x3+x−2. 答案 (x−2)(x+1)2.x3−3x−2=x2−8−3(x−2)=(x−2)(x2+2x+4)−3(x−2)=(x−2)(x+1)2.相关推荐 1Factorise x3+x−2.因式分解x3+x−2. ...
Step 4 Distribute the x to both 6 and -1 and get: 3x² + 6 x -x -2. Then factor by grouping: 3x(x+2) + (-1) (x+2) = (3x-1) (x +2). This is the final answer. Step 5 Check the answer by multiplying the binomials (3x-1) (x +2) and compare to the quadratic ...
(2)a^3-a^2+a-1=(3)x^3+x^2-x-1=(4)x^3+x^2+xy^2+y^2=(5)x^3-2x^2+3x-6= 相关知识点: 试题来源: 解析 (1)=(x^2+1)(x+1)(2)=(a^2+1)(a-1)(3)=(x+1)^2(x-1)(4)=(x^2+y^2)(x+1)(5)=(x^2+3)(x-2) (1)N/A.(2)N/A.(3)N/A...
x=-1 [Let find the factors of 3 which will make 4 (coefficient of x)]3=3* 1 [3+1=4]. Hence 3x+x=4x, then(split)x^2+4x+3&=x^2+3x+x+3 &=x(x+3)+1(x+3) &=(x+3)(x+1)(split)Solving (x+3)(x+1)=0, either(x+3)=0, then x=-3 or (x+1)=0, then x=...
4(x+3)(x-3)(8+a)(8-a)(6(y+x)(y-x)3x(x+3)(x-3)8(2y+x)(2y-x)(4x+7y^2)(4x-7y^2) 10 2y(x-y) 结果一 题目 II. Fill in the blanks4 Factorise: x2-9 =Factorise:64-a^2=6F Factorise_2-x^2+y^2=Factorise: 3x^3-27x=3 Factorise: -x^2+4y^2=8Factorise: 16...
(x 2 -1) (x+1) therefore, the factorisation of x 3 + x 2 –x – 1 gives (x 2 -1) (x+1) solved examples question 1: check whether x+3 is a factor of x 3 + 3x 2 + 5x +15. solution: let x + 3= 0 => x = -3 now, p(x) = x 3 + 3x 2 + 5x +15 let us...
11 (a) Factorise.5x-15..[1](b)Solve.4(3x-2)=28---[3](c)Simplify.(4a)/b*(3b^2)/(2a^2)[2](d) On the number line, show the inequality x≤3.4 3-i1034[1](e) Solve.7x3x+6---[2](f) Solve these simultaneous equations.x+y=5x-y=7r=y=...[2] 相关知识点: ...