The correct option is C 193644 × 44 can be written as (50 6)× (50 6) Using the identity (a b)(a b) = a^2 + b^2 2ab, (50 6)× (50 6) = (50)^2 + (6)^2 ...

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Standard VIII

Mathematics

Algebraic Identity: (a - b)^2 = a^2 + b^2 - 2ab

The value of ...

Question

The value of $44^{2}$ is .

1856

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1986

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1936

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1886

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Solution

The correct option is C 1936
44 $\times$ 44 can be written as $(50 - 6) \times (50 - 6)$
Using the identity $(a - b) (a - b) = a^{2} + b^{2} - 2 a b$ ,
$(50 - 6) \times (50 - 6) = (50)^{2} + (6)^{2} - 2 \times 50 \times 6$
$= 2500 + 36 - 600 = 1936$

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Similar questions

The value of $44^{2}$ is equal to

Q. In the given figure, the value of

x

is, (

x

is the side of the square)

Find the values of exponential numbers.

(1) 4⁴

(2) 2⁵

(3) 6⁴

(4) (−3)⁴

(5) (−5)³

Q. The value of

∣ ∣ ∣ ∣ \begin{matrix} 441445449 \end{matrix} \begin{matrix} 442446450 \end{matrix} \begin{matrix} 443447451 \end{matrix} ∣ ∣ ∣ ∣

is:

Q. Find the remainder when

42^{442}

is divided by 100.

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The value of 442 is .

The correct option is C 193644 × 44 can be written as (50−6)×(50−6) Using the identity (a−b)(a−b)=a2+b2−2ab, (50−6)×(50−6)=(50)2+(6)2−2×50×6 =2500+36−600=1936

The value of $44^{2}$ is .

The correct option is C 1936
44 $\times$ 44 can be written as $(50 - 6) \times (50 - 6)$
Using the identity $(a - b) (a - b) = a^{2} + b^{2} - 2 a b$ ,
$(50 - 6) \times (50 - 6) = (50)^{2} + (6)^{2} - 2 \times 50 \times 6$
$= 2500 + 36 - 600 = 1936$