In the expression 6 − 4x + x²y, what is the coefficient of x²y?

1. When no number is written in front of a term, the coefficient is 1 — x²y means 1 × x²y. It is not 0 (that would mean the term is absent), and −4 is the coefficient of x, not of x²y.

In the expression $6 - 4 x + x^{2} y$ , what is the coefficient of $x^{2}$ $y$ ?

Class 8Algebraic Expressions and IdentitiesAlgebra

A1
B0
C−4
D $x^{2}$

Step-by-Step Solution

When no number is written in front of a term, the coefficient is 1 —

x^{2}

y

means

1 \times x^{2} y

. It is not 0 (that would mean the term is absent), and −4 is the coefficient of

x

, not of

x^{2}

y

Answer: A) 1

Key idea: Adding and subtracting expressions

Combine **like terms only** — same variables and same powers.

Example:

(3 x^{2} + 4 x - 2) + (5 x^{2} - 7 x + 8) = (3 x^{2} + 5 x^{2}) + (4 x - 7 x) + (- 2 + 8) = 8 x^{2} - 3 x + 6

.

For subtraction, distribute the minus sign first:

(3 x^{2} + 4 x) - (x^{2} - 2 x) = 3 x^{2} + 4 x - x^{2} + 2 x = 2 x^{2} + 6 x

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In the expression 6−4x+x2y, what is the coefficient of x2y?

Step-by-Step Solution

Key idea: Adding and subtracting expressions

Master this chapter in 30 minutes a day.

More Class 8 Algebraic Expressions and Identities practice

In the expression $6 - 4 x + x^{2} y$ , what is the coefficient of $x^{2}$ $y$ ?