If (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5), then the coefficient of y in the result is ________. Fill in the blanks to make the statement true.

Solution:

Given, if (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5), then the coefficient of y in the result is ________.

We have to fill in the blanks to make the statement true.

(x²y + y² + 3) is subtracted from (3x²y + 2y² + 5),

= 3x²y + 2y² + 5 - (x²y + y² + 3)

By distributive property,

= 3x²y - x²y + 2y² - y² + 5 - 3

= (3 -1)x²y + (2 - 1)y² + 2

= 2x²y + y² + 2

Coefficient is the numerical factor in a term.

Sometimes, any factor in a term is called the coefficient of the remaining part of the term.

From the expression,

The coefficient of y in 2x²y + y² + 2 = 2x²(y)

= 2x²

Therefore, the coefficient of y is 2x².

✦ Try This: If (3x²y² + 4y² + 3) is subtracted from (3x²y² + 5y² + 5), then the coefficient of y in the result is ________. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 27

If (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5), then the coefficient of y in the result is ________. Fill in the blanks to make the statement true.

Summary:

If (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5), then the coefficient of y in the result is 2x².

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