Of which of the binomial give below is $m^{2} n^{2} + 14 m n p q + 49 p^{2} q^{2}$ the expansion ?

(m + n) (p + q)

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(m n - p q)^{2}

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(7 m n + p q)^{2}

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(m n + 7 p q)^{2}

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Solution

The correct option is A $(m n + 7 p q)^{2}$
We've,

$m^{2} n^{2} + 14 m n p q + 49 p^{2} q^{2}$

$= (m n)^{2} + 2. m n . (7 p q) + (7 p q)^{2}$

$= (m n + 7 p q)^{2}$ .

So the given expression is the binomial expansion of $(m n + 7 p q)^{2}$ .

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Similar questions

Of which of the binomials given below is m²n²+ 14mnpq + 49p²q²the expansion?

(i) (m + n) (p + q) (ii) (mn- pq) (iii) (7mn + pq) (iv) (mn + 7pq)

Angles Q and R of a ΔPQR are 25° and 65°.

Write which of the following is true:

(i) PQ² + QR²= RP²

(ii) PQ² + RP²= QR²

(iii) RP² + QR²= PQ²

Question 6
Angles Q and R of a $Δ$ PQR are $25^{\circ}$ and $65^{\circ}$ .
Write which of the following is true:
(i) $P Q^{2} + Q R^{2} = R P^{2}$
(ii) $P Q^{2} + R P^{2} = Q R^{2}$
(iii) $R P^{2} + Q R^{2} = P Q^{2}$

Q. Simplify :- - 13mn + 5mn - 7np

Q. P and Q are two elements which form

P_{2} Q_{3}

and

{P Q}_{2}

. If 0.15 mole of

P_{2} Q_{3}

weight 15.9 g and 0.15mole of

{P Q}_{2}

weight 9.3 g. what are atomic weights of P and Q respectively?

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Of which of the binomial give below is m2n2+14mnpq+49p2q2 the expansion ?

The correct option is A (mn+7pq)2We've, m2n2+14mnpq+49p2q2=(mn)2+2.mn.(7pq)+(7pq)2=(mn+7pq)2.So the given expression is the binomial expansion of (mn+7pq)2.

Of which of the binomial give below is $m^{2} n^{2} + 14 m n p q + 49 p^{2} q^{2}$ the expansion ?

The correct option is A $(m n + 7 p q)^{2}$
We've,

$m^{2} n^{2} + 14 m n p q + 49 p^{2} q^{2}$

$= (m n)^{2} + 2. m n . (7 p q) + (7 p q)^{2}$

$= (m n + 7 p q)^{2}$ .

So the given expression is the binomial expansion of $(m n + 7 p q)^{2}$ .