(C) To evaluate $(107)^{2}$,we can express $107$ as $(100 + 7)$.Using the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$,where $a = 100$ and $

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(C) To evaluate $(107)^{2}$,we can express $107$ as $(100 + 7)$.Using the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$,where $a = 100$ and $b = 7$:$(100 + 7)^{2} = (100)^{2} + 2(100)(7) + (7)^{2}$$= 10000 + 1400 + 49$$= 11449$

Class 9 Mathematics Polynomials Algebraic Identities

Medium

Evaluate the following using suitable identities:
$(107)^{2}$

A
$16542$
B
$11745$
C
$11449$
D
$12465$

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Evaluate the following using suitable identities:$(107)^{2}$

Similar Questions

Write the following cube in expanded form: $\left[x-\frac{2}{3} y\right]^{3}$

Factorise:$a^{3}-8 b^{3}-64 c^{3}-24 a b c$

Expand the following:$\left(4-\frac{1}{3 x}\right)^{3}$

If $a, b, c$ are all non-zero and $a+b+c=0,$ prove that $\frac{a^{2}}{b c}+\frac{b^{2}}{c a}+\frac{c^{2}}{a b}=3$.

The coefficient of $x$ in the expansion of $(x+3)^{3}$ is

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Evaluate the following using suitable identities:
$(107)^{2}$

Factorise:
$a^{3}-8 b^{3}-64 c^{3}-24 a b c$

Expand the following:
$\left(4-\frac{1}{3 x}\right)^{3}$