【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. (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 each of the following expressions:a4b4−81c4(2)xy9−yx9x3−x(4)18a2x2−32 View Solution Factorize each of the following algebraic expressions:4x2+12xy+9y2(2)9a2−24ab+16b2(3)p2q2−6pqr+9r2(4)36a2+36a+9
Factorize each of the following expressions :x4+y4(ii)x4+4x2+3 View Solution Factorize each of the following expressions :x4+x2+1(ii)x4+5x2+9 View Solution Factorize each of the following algebraic expressions: (1)x2+14x+45(2)x2−22x+120(3)x2−11x−42(4)a2+2a−3 ...
With this method, we can break a complex rational expression (it should be the ratio of two polynomial expressions) into a sum of smaller rational expressions. The partial fraction decomposition provides a set of rules...
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 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 algebraic expressions: (i) x^3(a-2... 02:02 Factorize: (i)x^2+x y+8x+8y (ii) 15 x y-6x+10 y-4 02:06 Factorize: (i)15 a b+15+9b+25 a (ii) n-7+7l m-l m n 02:20 Factorize: (i) a x+b x+a y+b y, (ii) a x^2+b y^2+...
Factorize each of the following expressions: x^2+2x y+y^2 01:23 Factorize: x^2+8x+15 (ii) x^4+x^2+1 03:11 Factorize: (i)9-a^6+2a^3b^3-b^6 (ii)x^(16)-y^(16)+x^8+y^8 03:49 Factorize each of the following algebraic expressions: 4x^2+12 x y+... 04:36 Factoriz...