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KALYANI PUBLICATION-HARDER PRODUCT AND FACTORISATION -EXERCISE
- Prove that (3x-2y)^3+(y+2z)^3+(y-2z-3x)^3=3(3x-2y)(y+2z)(y-2z-3x)
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- Prove that (a-2b)^3+(2b-1)^3+(1-a)^3=3(a-2b)(2b-1)(1-a)
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- Factorise (5x+3y+z)(15xy+3yz+5xz)-15xyz
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- Factorise (2a+b+c)(2ab+bc+2ca)-2abc
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- Factorise (2a+3b+4c)(6ab+8ac+12bc)-24abc
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- Factorise (a-b+2c)(2ca-2bc-ab)+2abc
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- Factorise (a-2b-3c)(6bc-2ab-3ac)-6abc
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- Resolve into factors 9a^2(2b+c)+4b^2(3a+c)+c^2(3a+2b)+12abc
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- factorise (x^2-2xy+y^2)-z^2
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- Resolve into factors x^2(y+2z)+y^2(x+2z)+4z^2(x+y)+4xyz
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- Resolve into factors 4x^2(y-z)+y^2(2x-z)+z^2(2x+y)-4xyz
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- Resolve into factors a(b^2+c^2)+b(c^2+a^2)+c(a^2+b^2) + 2abc
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- Resolve into factors (a-b)^3 +(b-c)^3+(c-a)^3
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- Resolve into factors a^2(b-c)+b^2(a-c)+c^2(a-b)-2abc
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- Resolve into factors a(b-c)^2+b(c-a)^2+c(a-b)^2+8abc
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- Resolve into factors x^2(2y+3z)+4y^2(3z+x)+9z^2(x+2y)+18xyz
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- Resolve into factors y^2(2x-z)+z^2(2x-y)-4x^2(y+z)+6xyz
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- Resolve into factors 12a^2b+4a^2c+9b^2c+18ab^2+2ac^2+3bc^2+18abc
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- Resolve into factors a(b-c)^2+b(c-a)^2+c(a-b)^2+8abc
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- Resolve into factors bc(b+c)-ca(c-a)-ab(b-a)-2abc
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