Simplify- 1-2 m - n 2-1-2 m - n 2A- 12- n 2-4 m 2-2 lnB- 13- n 2-2 m 2-4 lnC- 212- n 2-4 m 2-2 lnD- 212- n 2-4 m 2-2 ln

The correct option is D 2(l^2 + n^2 + 4m^2 + 2ln)(l + 2m + n)^2 + (l 2m + n)^2 nbsp; = (l^2 + 4m^2 + n^2 + 4lm + 4mn + 2ln + l^2 + 4m^2 + n^2 4lm 4mn + ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Expansion of (a+b+c)^2

Simplify: 1+2...

Question

Simplify: $(l + 2 m + n)^{2} + (l - 2 m + n)^{2}$

(l^{2} + n^{2} + 4 m^{2} + 2 l n)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(l^{3} + n^{2} + 2 m^{2} + 4 l n)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 (l^{2} + n^{2} - 4 m^{2} - 2 l n)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 (l^{2} + n^{2} + 4 m^{2} + 2 l n)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $2 (l^{2} + n^{2} + 4 m^{2} + 2 l n)$
$(l + 2 m + n)^{2} + (l - 2 m + n)^{2}$
$= (l^{2} + 4 m^{2} + n^{2} + 4 l m + 4 m n + 2 l n + l^{2} + 4 m^{2} + n^{2} - 4 l m - 4 m n + 2 l n)$
$= 2 (l^{2} + n^{2} + 4 m^{2} + 2 l n)$

Suggest Corrections

Similar questions

Q. Simplify:

{(m^{2} + 2 n^{2})}^{2} - 4 m^{2} n^{2}

If the coefficient of $m^{t h}$ , $(m + 1)^{t h}$ and $(m + 2)^{t h}$ terms in the expansion of $(1 + x)^{n}$ are in A.P., then:

Match the following:

A		B
1)	(m + 2n) (m − 2n)	a)	m² − 16
2)	(3m + n) (3m − n)	b)	4m² − 25n²
3)	(m + 4) (m − 4)	c)	4m² + 25n²
4)	(2m + 5n) (2m − 5n)	d)	m² − 4n²
		e)	9m² + n²
		f)	9m² − n²

The correct order of bond strength is $N_{2}^{+}, N_{2}$ and $N_{2}^{-}$

I t_{n \to \infty} {\frac{1}{1 + n^{2}} + \frac{2}{2 + n^{2}} + \frac{3}{3 + n^{2}} + \dots_{\dots \dots} + \frac{n}{n + n^{2}}}

Join BYJU'S Learning Program

Simplify: (l+2m+n)2+(l−2m+n)2

The correct option is D 2(l2+n2+4m2+2ln)(l+2m+n)2+(l−2m+n)2 =(l2+4m2+n2+4lm+4mn+2ln+l2+4m2+n2−4lm−4mn+2ln) =2(l2+n2+4m2+2ln)

Simplify: $(l + 2 m + n)^{2} + (l - 2 m + n)^{2}$

The correct option is D $2 (l^{2} + n^{2} + 4 m^{2} + 2 l n)$
$(l + 2 m + n)^{2} + (l - 2 m + n)^{2}$
$= (l^{2} + 4 m^{2} + n^{2} + 4 l m + 4 m n + 2 l n + l^{2} + 4 m^{2} + n^{2} - 4 l m - 4 m n + 2 l n)$
$= 2 (l^{2} + n^{2} + 4 m^{2} + 2 l n)$