Question

How many terms are in the expression shown below? x2 - 10xy + 3y + y2 - 1

Answer 1

Answer: There are 5 (five terms) in the expression shown.
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In the expression shown:
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" x² − 10xy + 3y + y² − 1 " ;
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→ These 5 (five terms) are:
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x² , -10xy, 3y, y², and -1 .
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Answer 2

so, the given algebraic equation:

`x^2-10xy+3y+y^2-1` has 5 terms.

( namely
`x^2 , 10xy, 3y, y^2` and
`1` )

Explanation:

" A term in an algebraic expression can be a signed number, a variable, or a constant multiplied by a variable or variables "

We are given an algebraic equation in two variables x and y as:

`x^2-10xy+3y+y^2-1`

clearly this algebraic equation has 5 terms namely:

`x^2 , 10xy, 3y, y^2` and
`1`

which are separated by + and - signs.