If $(x^{2} y + y^{2} + 3)$ is subtracted fron $(3 x^{2} y + 2 y^{2} + 5)$ then coefficient of $y$ in the result is _______

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Solution

We have,

$(x^{2} y + y^{2} + 3)$ is subtracted from $(3 x^{2} y + 2 y^{2} + 5)$

According to question,

$(3 x^{2} y + 2 y^{2} + 5) - (x^{2} y + y^{2} + 3)$

$\Rightarrow 3 x^{2} y + 2 y^{2} + 5 - x^{2} y - y^{2} - 3$

$\Rightarrow 2 x^{2} y + y^{2} + 2$

So,

Coefficients of $y$ is $2 x^{2}$ .

Hence, this is the answer.

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Question 27

Fill in the blanks to make the statement true.

If $(x^{2} y + y^{2} + 3)$ is subtracted from $(3 x^{2} y + 2 y^{2} + 5)$ , then coefficient of y in the result is___.

Subtract :
$- x^{2} + y^{2} - x^{2} y + 5 x y^{2}$ from $x^{2} + x^{2} y - 5 x y^{2} - y^{2}$

p (y) = 3 y^{7} - 2 y^{2} + 3

q (y) = y^{7} + y^{2} + y

x^{2} y^{' 2} + 2 y^{2} = x^{2} + 2 x y y^{'}

y = x sin (ln k x^{n})

n

n \in N

Give expressions in the following cases.

(a) 11 added to 2m

(b) 11 subtracted from 2m

(d) 5 times y from which 3 is subtracted

(e) y is multiplied by − 8

(f) y is multiplied by − 8 and then 5 is added to the result

(g) y is multiplied by 5 and the result is subtracted from 16

(h) y is multiplied by − 5 and the result is added to 16

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