Identify the term containing u² in the expression u³ + 3u²v + 3uv² + v³ and write its coefficient.
Solution:
Given, the expression is u³ + 3u²v + 3uv² + v³.
We have to find the term containing u² and write its coefficient.
The term containing u² = 3u²v.
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 u² = 3v(u²)
Therefore, the coefficient of u² is 3v.
✦ Try This: Identify the term containing u² in the expression 3u³ + 4u²v + uv² + 3v³ and write its coefficient.
Given, the expression is 3u³ + 4u²v + uv² + 3v³.
We have to find the term containing u² and write its coefficient.
The term containing u² = 4u²v.
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 u² = 4v(u²)
Therefore, the coefficient of u² is 4v.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Sample Problem 12
Identify the term containing u² in the expression u³ + 3u²v + 3uv² + v³ and write its coefficient.
Summary:
The term containing u² in the expression u³ + 3u²v + 3uv² + v³ is 3u²v and its coefficient is 3v.
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