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#1 2010-10-14 18:36:12

haftakhan
Member
Registered: 2010-06-28
Posts: 30

Expansion and Factorisation of Algebraic Expressions

A. Factorise completely:

    (a) 18x^2 – 24xy + 8y^2

    the answer i get is 2(3x+y)^2

    but the answer given is 2(3x + 2y)^2

    B.Factorise the following:
    (a) (x – 4)(x + 1) + 4a – ax

    the answer i get is (x-4)(x+1-a)

    but the answer given is (x-4)(x-1-a)

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#2 2010-10-14 18:46:03

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Expansion and Factorisation of Algebraic Expressions

Hi;

(a) 18x^2 – 24xy + 8y^2

    the answer i get is 2(3x+y)^2

    but the answer given is 2(3x + 2y)^2

For A) Both answers are incorrect!

(a) (x – 4)(x + 1) + 4a – ax

    the answer i get is (x-4)(x+1-a)

    but the answer given is (x-4)(x-1-a)

For B) you are right and the given answer is wrong!


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2010-10-14 22:23:26

haftakhan
Member
Registered: 2010-06-28
Posts: 30

Re: Expansion and Factorisation of Algebraic Expressions

18x^2 – 24xy + 8y^2

=2(9x^2-12xy+4y^2)
=2{(3x)^2-2(3x)(2y)+(2y)^2}
=2(3x-2y)^2

but the answer given is 2(3x + 2y)^2

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#4 2010-10-14 22:29:18

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Expansion and Factorisation of Algebraic Expressions

Hi;

Now that is the right answer. The given answer is wrong there.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2010-10-14 22:34:57

haftakhan
Member
Registered: 2010-06-28
Posts: 30

Re: Expansion and Factorisation of Algebraic Expressions

Hi and thanks

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#6 2010-10-14 22:38:28

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Expansion and Factorisation of Algebraic Expressions

Good work by the way!


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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