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CBSE
Mathematics
Basic algebraic identities
If $ x + y + z = 0, $ then show that $ {x^3} + {y^3} + {z^3} = 3xyz $

CBSE
Mathematics
Basic algebraic identities
Evaluate the value of ${\left( {104} \right)^3}$ using the suitable identities.

CBSE
Mathematics
Basic algebraic identities
Expand ${(3x + 4y)^2}$

CBSE
Mathematics
Basic algebraic identities
Factorize the following expression: \[8{p^3} - \dfrac{{12}}{5}{p^2} + \dfrac{6}{{25}}p - \dfrac{1}{{125}}\].
A. Cannot be determined
B. Does not exist
C. \[\left( {2p - \dfrac{1}{5}} \right)\left( {2p - \dfrac{1}{5}} \right)\left( {2p - \dfrac{1}{5}} \right)\]
D. None of these

CBSE
Mathematics
Basic algebraic identities
What is the formula of $a$ plus $b$ minus $c$ the whole square?
CBSE
Mathematics
Basic algebraic identities
If $x + \dfrac{1}{x} = 2$ , then ${x^2} + \dfrac{1}{{{x^2}}} = ?$
A.$2$
B.$0$
C.$4$
D.$6$
CBSE
Mathematics
Basic algebraic identities
Evaluate each of the following using suitable identities:
A. ${{\left( 104 \right)}^{3}}$
B. ${{\left( 999 \right)}^{3}}$
CBSE
Mathematics
Basic algebraic identities
Using identities, evaluate the following: \[{97^2}\] ?

CBSE
Mathematics
Basic algebraic identities
If $x - \dfrac{1}{x} = 3,$find the value of ${x^3} - \dfrac{1}{{{x^3}}}$

CBSE
Mathematics
Basic algebraic identities
What is the minimum height of any point on the curve $$y = {x^2} - 4x + 6$$ above the x-axis?
A.1
B.2
C.3
D.4

CBSE
Mathematics
Basic algebraic identities
What is the value of $\left( {7.5 \times 7.5 + 37.5 + 2.5 \times 2.5} \right)$?
A). $30$
B). $60$
C). $80$
D). $100$

CBSE
Mathematics
Basic algebraic identities
Evaluate $1002 \times 998$ by using a special product.
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