Describe how the following expressions are obtained:

$(i) 7 x y+5, (ii) x^{2} y, (iii) 4 x^{2}-5 x$.

Given :

The given expressions are, $(i) 7 x y+5, (ii) x^{2} y, (iii) 4 x^{2}-5 x$.

To do :

We have to describe how the expressions are obtained.

Solution :

(i) $7 x y+5$

7 is multiplied with the variables x and y. $7 \times x \times y = 7xy$.

And 7xy is added to 5, we get $7xy+5$.

(ii) $x^{2} y$

x is multiplied with x, we get $x\times x=x^2$.

And $x^2$ is multiplied with y, we get $x^2 \times y = x^2y$.

(iii) $4 x^{2}-5 x$

4 is multiplied with x and again with x. $4 \times x \times x = 4 x^2$.

5 is multiplied with x, we get $5 \times x = 5x$.

And subtract $5x$ from $4x^2$, we get $4x^2 - 5x$.

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Updated on: 10-Oct-2022

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