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Algebraic Expressions and Identities
Add: 9xy - 3yz + 2zx; 2xz + 9xy - 4y and -2xz + 5x + 3xy.
We write the expressions in separate rows, keeping like terms in the same column:
9xy -3yz + 2zx
+ 9xy + 2zx - 4y
+ 3xy - 2 zx + 5x
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21xy -3yz + 2zx -4y +5x
In the above example, -4y and 5x are carried over as they are, because they have no like terms. II. xz is same as zx.
Subtract 6x2 – 5y2 + 7y – 4 from 82 – 5xy + 9y2 + 6x - 4y
We know that subtraction of a number is the same as addition of its additive inverse. We have
8x2 -5xy + 9y2+6x - 4y
6x2 - 5y2 + 7y - 4
(-) (+) (-) (+)
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2x2 -5xy + 14y2+6x -11y + 4
Give five examples of expressions containing one variable and five examples of expressions containing two variables.
(i) x – 4 (ii) 5 – y (iii) 2x + 5
(iv) 10x + 4 (v) 11 – z
(b) Five examples containing two variables are:
(i) 7x – 2y (ii) 5x + 2y – 10 (iii) 6x + z – 2
(iv) 15y – z (v) 9x – 10z
Classify the coefficient of each term in the expression
x2y2 – 10x2y + 5xy2 – 20.
Coefficient of x2y2 is 1.
Coefficient of x2y is –10. Coefficient of xy2 is 5.
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Mock Test Series