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Identify the terms, their co-efficients for each of the following expressions.
(i) $7x^2yz - 5xy$
(ii) $x^2 + x + 1$
(iii) $3x^2y^2 - 5x^2y^2z^2 + z^2 + 1$
(iv) $9- ab + be-ca$
(v) $\frac{a}{2}+\frac{b}{2}-ab$
(vi) $2x - 0.3xy + 0.5y$
To do:
We have to identify the terms and their coefficients for the given expressions.
Solution:
(i) $7x^2yz - 5xy$
Term | Coefficient |
$7x^2yz$ | $7$ |
$-5xy$ | $-5$ |
(ii) $x^2 + x + 1$
Term | Coefficient |
$x^2$ | $1$ |
$x$ | $1$ |
$1$ | $1$ |
(iii) $3x^2y^2 - 5x^2y^2z^2 + z^2 + 1$
Term | Coefficient |
$3x^2y^2$ | $3$ |
$-5x^2y^2z^2$ | $-5$ |
$z^2$ | $1$ |
$1$ | $1$ |
Term | Coefficient |
$9$ | $9$ |
$-ab$ | $-1$ |
$be$ | $1$ |
$-ca$ | $-1$ |
Term | Coefficient |
$\frac{a}{2}$ | $\frac{1}{2}$ |
$\frac{b}{2}$ | $\frac{1}{2}$ |
$-ab$ | $-1$ |
Term | Coefficient |
$2x$ | $2$ |
$-0.3xy$ | $-0.3$ |
$0.5y$ | $.0.5$ |
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