【题目】Factorize the following expressions(1) (x-2)^3+(x-4)^3+8(x-3)^2(2) (x+1)^4+(x+3)^4-272(3) (xy-1)^2+(x+y-2)(x+y-2xy) 相关知识点: 试题来源: 解析 【解析】(1) To make the calculation easier, one can leta=(x-2+x-4)/2=x-3,t henO. E.=(a+1)^...
Factorize the following expressions using rational root theorem:(1) 2x3−x2−5x−2(2) x3−53x2−113x−1(3) x3−9x2y+26xy2−24y3 答案 (1) a0=−2 has factors ±1,±2,an=2 has factors ±1,±2.Therefore, the rational roots for f(x)=2x3−x2−5x−2 have ...
Factorize the following expressions. (1) a(1−b)2−1+2b−b2. (2) x3+bx2+ax+ab. (3) 4a2−b2+c2−9d2+4ac+6bd. (4) (a+b)2+(a+c)2−(c+d)2−(b+d)2. 相关知识点: 试题来源: 解析 (1) (1−b)2(a−1). (2) (x+b)(x2+a). (3) (2a+c+b−3d...
Factorize the following expressions. (1) a(x−a)+b(a−x)−(x−a). (2) (x+y)2(b+c)−(x+y)(b+c)2. (3) 6p(x−1)3−8p2(x−1)2−2p(1−x)2. (4) mn(m2+n2)−n2(m2+n2).相关知识点: 试题来源: 解析 (1) (x−a)(a−b−1). (2) (x+y)(...
Factorize the following expressions.\\ (1) (3a2−b2)2−(a2−3b2)2\\ (2) (a+x)4−(a−x)4\\ (3) a2+b2+c2+2ab−2ac−2bc\\ (4) x2(a+b)2−2xy(a2−b2)+y2(a−b)2相关知识点: 试题来源: 解析 (1) 8(a+b)(a−b)(a2+b2)\\ (2) 8ax(a2+x2)\\...
Factorize the following expressions. (1) 9(m−n)2−4(m+n)2 (2) a3+8b3 \\ (3) (x+y)3−(x−y)3 \\相关知识点: 试题来源: 解析 (1) (5m−n)(m−5n). (2) (a+2b)(a2−2ab+4b2). \\ (3) 2y(3x2+y2).\\ (1) (5m−n)(m−5n). (2) (a+2b)(a...
Factorize each of the following expressions a 3 b 3 a b - Given:$a^3 + b^3 + a + b$To do:We have to factorize the given expression.Solution:We know that,$a^3 + b^3 = (a + b) (a^2 - ab + b^2)$$a^3 - b^3 = (a - b) (a^2 + ab + b^2)...
Factorize each of the following expressions:xa2+xb2−ya2−yb2(2)x2+xya+xz+yz(3)2ax+bx+2ay+by(4)ab−by−ay+y2 View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium
Factorize each of the following expressions: x^2-2x y+y^2-x+y (ii)... 05:47 Factorize: 4\ (x+y)^2-28 y(x+y)+49 y^2 (2a+3b)^2+2(2a+3b)(2a-3b)+(2... 03:33 Factorize each of the following expressions: 9x^2-4y^2 (ii)36 x^2-... 02:12 Factorize each of the...
Factorize the following expression: x ^2 y + 2 x ^2 - y -2. Factorise the following: 216 m^3 - 343 n^3. Factorise the following: 27 x^3 + 125 y^3. Factorize the following expressions. 1. A = a^3 + a^2 + a + 1 2. B = xy - 3x - 2y + 6 Factorize the follo...