(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 Mix Examples - Polynomials

Medium

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

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

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Mix Examples - Polynomials

Without actually calculating the cubes,find the value of each of the following:
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Show that $x+3$ is a factor of $69+11x-x^2+x^3$.

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

Similar Questions

Without actually calculating the cubes,find the value of each of the following:$(31)^{3} - (16)^{3} - (15)^{3}$

For $p(x) = x^{3} + 9x^{2} + 26x + 24$,find the value of $p(-2)$.

Find the zero of the polynomial in the following case:$p(t) = 7t - 21$

Expand $(3x + 7)(-3x + 7)$.

Show that $x+3$ is a factor of $69+11x-x^2+x^3$.

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

Without actually calculating the cubes,find the value of each of the following:
$(31)^{3} - (16)^{3} - (15)^{3}$

Find the zero of the polynomial in the following case:
$p(t) = 7t - 21$