Simplify- 2 pq -2 qr 2-8 pq 2 rA- 4 p2 q2-4 q2 r2B- 4 p 2 q 2-4 q 2 r 2C- 4 pq 2-4 q 2 r 2D- 4 p 2 q 2-9 q 2 r 2

The correct option is B 4p^2q^2 nbsp;+ 4q^2r^2(2pq + 2qr)^2 Expand this using the identity (a + b)^2 nbsp;= a^2 nbsp;+ 2ab + b^2 (2pq + 2qr)^2 = 4(p)^2( ...

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Byju's Answer

Standard VII

Mathematics

(a + b)^2 Expansion and Visualisation

Simplify: 2 p...

Question

Simplify: ${(2 p q + 2 q r)}^{2} - 8 p q^{2} r$

4 p^{2} q^{2} - 4 q^{2} r^{2}

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4 p^{2} q^{2} + 4 q^{2} r^{2}

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4 p^{2} q^{2} + 9 q^{2} r^{2}

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4 p q^{2} + 4 q^{2} r^{2}

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Solution

The correct option is B $4 p^{2} q^{2} + 4 q^{2} r^{2}$
${(2 p q + 2 q r)}^{2}$
Expand this using the identity
${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$

${(2 p q + 2 q r)}^{2}$
= $4 {(p)}^{2} {(q)}^{2} + 4 {(q)}^{2} {(r)}^{2} + 8 p q^{2} r$

${(2 p q + 2 q r)}^{2} - 8 p q^{2} r$

$= 4 p^{2} q^{2} + 4 q^{2} r^{2} + 8 p q^{2} r - 8 p q^{2} r$

$= 4 p^{2} q^{2} + 4 q^{2} r^{2}$

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Similar questions

Q. Complete the table.

	First Expression	Second Expression	Product
I)	$a$	$b + c + d$	.....
II)	$x + y - 5$	$5 x y$	.....
III)	$p$	$6 p^{2} - 7 p + 5$	.....
IV)	$4 p^{2} q^{2}$	$p^{2} - q^{2}$	.....
V)	$a + b + c$	$a b c$	.....

Simplify: ${(3 p q + 3 q r)}^{2} - 18 p q^{2} r$ .

	First Expression	Second Expression	Product
i)	$a$	$b + c + d$
ii)	$x + y - 5$	$5 x y$
iii)	$p$	$6 p^{2} - 7 p + 5$
iv)	$4 p^{2} q^{2}$	$p^{2} - q^{2}$
v)	$a + b + c$	$a b c$

complete the table

Q. Complete the table.

First expression	Second expression	Product
(i) $a$	$b + c + d$	.....
(ii) $x + y - 5$	$5 x y$	.....
(iii) $p$	$6 p^{2} - 7 p + 5$	.....
(iv) $4 p^{2} q^{2}$	$p^{2} - q^{2}$	.....
(v) $a + b + c$	$a b c$	.....

Complete the table
$\begin{matrix} first expression & second expression & product (i) & a & b + c + d & - - - (i i) & x + y - 5 & 5 x y & - - - (i i i) & p & 6 p^{2} - 7 p + 5 & - - - (i v) & 4 p^{2} q^{2} & p^{2} - q^{2} & - - - (v) & a + b + c & a b c & - - - - \end{matrix}$

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Simplify: (2pq+2qr)2−8pq2r

The correct option is B 4p2q2+4q2r2(2pq+2qr)2 Expand this using the identity (a+b)2=a2+2ab+b2 (2pq+2qr)2 = 4(p)2(q)2+4(q)2(r)2+8pq2r (2pq+2qr)2−8pq2r =4p2q2+4q2r2+8pq2r−8pq2r =4p2q2+4q2r2

Simplify: ${(2 p q + 2 q r)}^{2} - 8 p q^{2} r$