Compute the value of 4 3-42-2 1-42

The correct option is A 14 1/2 The given expression is (4 3/4 )^2 (2 1/4 )^2 which is equal to (4 3/4 21/4 )(4 3/4 + 21/4 ) [a^2 b^2 = (a+b)(a b) ...

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Standard VIII

Mathematics

Applying Difference of Squares as a Product of Its Sum and Difference

Compute the v...

Question

Compute the value of ${(4 \frac{3}{4})}^{2} - {(2 \frac{1}{4})}^{2}$

$14 \frac{1}{2}$

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$28 \frac{1}{2}$

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$8 \frac{3}{4}$

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$8 \frac{1}{4}$

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Solution

The correct option is A
$14 \frac{1}{2}$

The given expression is

${(4 \frac{3}{4})}^{2} - {(2 \frac{1}{4})}^{2}$ which is equal to

$(4 \frac{3}{4} - 2 \frac{1}{4}) (4 \frac{3}{4} + 2 \frac{1}{4}) [a^{2} - b^{2} = (a + b) (a - b)]$

$= 2 \frac{1}{2} \times 7$

$= 14 \frac{1}{2}$

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Similar questions

Q. Compute the value of

{(4 \frac{3}{4})}^{2} - {(2 \frac{1}{4})}^{2}

Q. Which represents correct hexaploid nature of Wheat?

	Monosomic	Haploid	Nullisomic	Trisomic
(A)	$21$	$28$	$42$	$43$
(B)	$7$	$28$	$40$	$42$
(C)	$21$	$7$	$42$	$43$
(D)	$41$	$21$	$40$	$43$

Q. Compute the value of

{(16 \frac{1}{4})}^{2}

Q. Simplify:

\frac{{(3 \frac{2}{3})}^{2} - {(2 \frac{1}{2})}^{2}}{{(4 \frac{3}{4})}^{2} - {(3 \frac{1}{3})}^{2}} \div \frac{3 \frac{2}{3} - 2 \frac{1}{2}}{4 \frac{3}{4} - 3 \frac{1}{3}}

Compute the median from the following data:
$\begin{matrix} Marks & 0 - 7 & 7 - 14 & 14 - 21 & 21 - 28 & 28 - 35 & 35 - 42 & 42 - 49 Numbers of students & 3 & 4 & 7 & 11 & 0 & 16 & 9 \end{matrix}$

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Compute the value of (434)2−(214)2

The correct option is A 1412 The given expression is (434)2−(214)2 which is equal to (434−214)(434+214) [a2−b2=(a+b)(a−b)] =212×7 =1412

Compute the value of ${(4 \frac{3}{4})}^{2} - {(2 \frac{1}{4})}^{2}$

The correct option is A
$14 \frac{1}{2}$

The given expression is

${(4 \frac{3}{4})}^{2} - {(2 \frac{1}{4})}^{2}$ which is equal to

$(4 \frac{3}{4} - 2 \frac{1}{4}) (4 \frac{3}{4} + 2 \frac{1}{4}) [a^{2} - b^{2} = (a + b) (a - b)]$

$= 2 \frac{1}{2} \times 7$

$= 14 \frac{1}{2}$