In like terms, variables and their powers are the same.
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Solution:-
True.
The terms having the same algebraic factors are called like terms.
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In like terms, variables and their powers are the same.
Solution:-
True.
The terms having the same algebraic factors are called like terms.
The expression x + y + 5x is a trinomial.
Solution:-
False.
Consider the given expression, x + y + 5x
The expression contains like terms, x + 5x = 6x
Then, the given expression becomes y + 6x which is a binomial.
4p is the numerical coefficient of q2 in – 4pq2.
Solution:-
False.
-4 is the numerical coefficient of q2 in – 4pq2.
5a and 5b are unlike terms.
Solution:-
True.
The terms having different algebraic factors are called unlike terms.
Sum of x2 + x and y + y2 is 2x2 + 2y2.
Solution:-
False.
Sum of x2 + x and y + y2
= (x2 + x) + (y + y2)
= x2 + y2 + x + y
Subtracting a term from a given expression is the same as adding its additive inverse to the given expression.
Solution:-
True.
Additive inverse of the expression is same as the subtracting term.
The total number of planets of Sun can be denoted by the variable n.
Solution:-
False.
We know that, total number of planets is constant. Hence, we cannot denote planets in variables.
In like terms, the numerical coefficients should also be the same.
Solution:-
False.
The terms having the same algebraic factors are called like terms. Numerical of the coefficient can be vary.
If we add a monomial and binomial, then answer can never be a monomial.
Solution:-
False.
If we add a monomial and binomial, then answer can be a monomial.
For example: sum of y2 and –y2 + x2
= y2 + (-y2 + x2)
= y2 – y2 + x2
= x2
If we subtract a monomial from a binomial, then answer is at least a binomial.
Solution:-
False.
If we subtract a monomial from a binomial, then answer is at least a monomial.
For example: difference of y2 and y2 + x2
= y2 – (y2 + x2)
= y2 – y2 – x2
= – x2