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# For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?

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Joined: 13 Oct 2016
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GMAT 1: 600 Q44 V28
For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?  [#permalink]

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Updated on: 26 May 2017, 11:08
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Question Stats:

85% (01:10) correct 15% (01:14) wrong based on 107 sessions

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For all x and y, $$(4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?$$

(A) $$–4x^2 – 18xy – 16y^2$$

(B) $$–4x^2 + 6xy – 16y^2$$

(C) $$–4x^2 + 6xy – 8y^2$$

(D) $$4x^2 – 6xy + 16y^2$$

(E) $$12x^2 – 18xy – 8y^2$$

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Originally posted by Kritesh on 26 May 2017, 11:04.
Last edited by Bunuel on 26 May 2017, 11:08, edited 1 time in total.
Formatted the question.
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Re: For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?  [#permalink]

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26 May 2017, 12:43
$$(4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 )$$

= $$(4x^2 - 8x^2) + (– 6xy + 12xy) + (– 12y^2 - 4y^2 )$$

= $$–4x^2 + 6xy – 16y^2$$(Option B)
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Re: For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?  [#permalink]

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26 May 2017, 12:59
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Kritesh wrote:
For all x and y, $$(4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2) = ?$$

(A) $$–4x^2 – 18xy – 16y^2$$

(B) $$–4x^2 + 6xy – 16y^2$$

(C) $$–4x^2 + 6xy – 8y^2$$

(D) $$4x^2 – 6xy + 16y^2$$

(E) $$12x^2 – 18xy – 8y^2$$

This is all about collecting like terms

(4x² – 6xy – 12y²) – (8x² – 12xy + 4y²) = ??

4x² - 8x² = -4x²
–6xy - (–12xy) = 6xy (aka +6xy)
–12y² - 4y² = -16y²

So, (4x² – 6xy – 12y²) – (8x² – 12xy + 4y²) = -4x² + 6xy -16y²

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Re: For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?  [#permalink]

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01 Jun 2017, 08:48
Kritesh wrote:
For all x and y, $$(4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?$$

(A) $$–4x^2 – 18xy – 16y^2$$

(B) $$–4x^2 + 6xy – 16y^2$$

(C) $$–4x^2 + 6xy – 8y^2$$

(D) $$4x^2 – 6xy + 16y^2$$

(E) $$12x^2 – 18xy – 8y^2$$

4^x - 6xy - 12y^2 - (8x^2 - 12xy + 4y^2)

4^x - 6xy - 12y^2 - 8x^2 + 12xy - 4y^2

-4x^2 + 6xy - 16y^2

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Re: For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?  [#permalink]

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21 Jul 2018, 10:58
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Re: For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ? &nbs [#permalink] 21 Jul 2018, 10:58
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# For all x and y, (4x^2 – 6xy – 12y^2 ) – (8x^2 – 12xy + 4y^2 ) = ?

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