Factorise : a^(2)-9b^(2)+4c^(2)-25d^(2)-...

Factorise : `a^(2)-9b^(2)+4c^(2)-25d^(2)-4ac+30bd`

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The correct Answer is:

`(a+3b-2c-5d)(a-3b-2c+5d)`

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CALCUTTA BOOK HOUSE-FACTORISATION-EXERCISE 2.4 (Long -answer type questions )

Factorise : a^(2)-9b^(2)+4c^(2)-25d^(2)-4ac+30bd
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Factorise : a(b^(2)-c^(2))+b(c^(2)-a^(2))+c(a^(2)-b^(2))
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Factorise : bc(b^(3)-c^(3))+ca(c^(3)-a^(3))+ab(a^(3)-b^(3))
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Factorise : a(b+c)^(2)+b(c+a)^(2)+c(a+b)^(2)-4abc
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Factorise : a^(2)(b+c)+b^(2)(c+a)+c^(2)(a+b)+a^(3)+b^(3)+c^(3)
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Factorise : b^(2)c^(2)(b^(2)-c^(2))+c^(2)a^(2)(c^(2)-a^(2))+a^(2)b^(2)...
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Factorise : a^(4)(b^(2)-c^(2))+b^(4)(c^(2)-a^(2))+c^(4)(a^(2)-b^(2))
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Factorise : (a^(2)-b^(2))(a+b)+(b^(2)-c^(2))(b+c)+(c^(2)-a^(2))(c+a)
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Factorise : (b+c-a)(c+a-b)(a+b-c)+8abc
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Factorise : x(1+y^(2))(1+z^(2))+y(1+z^(2))(1+x^(2))+z(1+x^(2))(1+y^(2)...
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Factorise : (x+y+z)(x^(3)+y^(3)+z^(3)+xyz)-x^(4)-y^(4)-z^(4)
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Factorise : x^(2)(b-c)+b^(2)(c-x)+c^(2)(x-b)
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