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# (x + 3y)^2

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3260
Location: India
GPA: 3.12

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31 Oct 2018, 16:58
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Difficulty:

5% (low)

Question Stats:

98% (00:22) correct 2% (00:21) wrong based on 47 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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31 Oct 2018, 18:39
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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01 Nov 2018, 03:24
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
(x + 3y)^2   [#permalink] 01 Nov 2018, 03:24
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