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(x + 3y)^2

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(x + 3y)^2  [#permalink]

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New post 31 Oct 2018, 17:58
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:22) correct 3% (00:21) wrong based on 40 sessions

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\((x + 3y)^2\) =

A. \(x^2 + 3y^2\)
B. \(x^2 + 9y^2\)
C. \(x^2 + 3xy + 3y^2\)
D. \(x^2 + 3xy + 9y^2\)
E. \(x^2 + 6xy + 9y^2\)

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Re: (x + 3y)^2  [#permalink]

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New post 31 Oct 2018, 19:39
pushpitkc wrote:
\((x + 3y)^2\) =

A. \(x^2 + 3y^2\)
B. \(x^2 + 9y^2\)
C. \(x^2 + 3xy + 3y^2\)
D. \(x^2 + 3xy + 9y^2\)
E. \(x^2 + 6xy + 9y^2\)


Apply \((a+b)^2=a^2+2ab+b^2\)

Now, \((x + 3y)^2=x^2 + 2*x*3y + (3y)^2=x^2 + 6xy + 9y^2\)

Ans. (E)
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(x + 3y)^2  [#permalink]

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New post 01 Nov 2018, 04:24
pushpitkc wrote:
\((x + 3y)^2\) =

A. \(x^2 + 3y^2\)
B. \(x^2 + 9y^2\)
C. \(x^2 + 3xy + 3y^2\)
D. \(x^2 + 3xy + 9y^2\)
E. \(x^2 + 6xy + 9y^2\)


simple application of formula

\((a+b)^2\)=\(a^2\)+\(2ab\)+\(b^2\)

\((x + 3y)^2\) = \(x^2 + 6xy + 9y^2\)

Option E
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(x + 3y)^2   [#permalink] 01 Nov 2018, 04:24
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