Question

how many terms are there in an expression 12ab -24b +36a​

Answer 1

12ab -24b +36a​ has 3 terms.

Step-by-step explanation:

12ab -24b +36a​ is an algebraic expression with 3 terms.

There are two variables a and b in the expression.

36a is a term, 24b is another term. 12ab, though it has a common variable with the other terms, "ab" is different from the other two terms. So 12ab is the third term.

Hence the given equation has 3 terms: 36a, -24b and 12ab

Answer 2

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DEFINITION TO BE MEMORISED

EXPRESSION

In Mathematics an expression is an algebraic expression.

An algebraic expression is an mathematical expression consisting of a number of terms separated by the mathematical operators plus ( + ) or minus ( - )

EXAMPLE

$\sf{1. \: \: \: 12x + 23y + 99 \: }$

$\sf{2. \: \: \: 88x + 32\: }$

$\sf{3. \: \:y - \:117 \: }$

TERM

A term is defined as a number which is treated as a constant or a variable ( x, y, z etc. ) or a number multiplied by a variable.

EXAMPLE

$\sf{ In \: the \: expression \:12x + 23y +99 \: terms \: are \: 12x, 23y, 99}$

COEFFICIENT

In an algebraic expression Coefficients are defined as the numerical parts of a term that contains a variable.

EXAMPLE

$\sf{ \: The \: coefficient \: of \: x \: in \: 12x \: is \: 12\: }$

NUMBER OF TERMS IN AN ALGEBRAIC EXPRESSION

The number of terms in an algebraic expression is the total number of distinct terms in the expression

TO DETERMINE

The number of terms are there in an expression

$\sf{ \:12ab -24b +36a \: }$

EVALUATION

From above definitions we can say that the number of terms in the expression

$\sf \: {12ab -24b +36a \: \: is \: \: 3}$