Ex.12.1 Q6 Algebraic Expressions Solution - NCERT Maths Class 7

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Question

State whether a given pair of terms is of like or unlike terms.

(i) \(1, 100\)

(ii) \(–7x, x\)

(iii) \(– 29x, – 29y\)

(iv) \(14xy, 42yx\)

(v) \(4m^2p, 4mp^2\)

(vi) \(12xz, 12x^2z^2\)

Text Solution

 

S.No.

Expression

Terms

Factors

Like/ Unlike

Reason

(i)

\(1, 100\)

\(1\) and \(100\)

\(1\) and \(100\)

Like

Bothe the terms has no variables

(ii)

\(–7x,  x\)

\(–7x\) and
\( x\)

\(–7, x\) and
\(x\)

Like

Both terms have same variable \(x\)

(iii)

\(– 29x, – 29y\)

\(– 29x\) and \( – 29y\)

\(– 29, x\) and
\(– 29, y\)

Unlike

Both terms have different variables \(x\) & \(y\)

(iv)

\(14xy, 42yx\)

\(14xy\) and \(42yx\)

\(14, x,y\) and
\(42, y,x\)

Like

Both terms have same variable \(xy\) & \(xy\)

(v)

\(4m^2p, 4mp^2\)

\(4m^2p\) and \(4mp^2\)

\(4, m^2, p\) and
\(4, m, p^2\)

Unlike

Both terms have same variable but with different powers

(vi)

\(12xz, 12x^2z^2\)

\(12xz\) and \(12x^2z^2\)

\(12, x ,z\) and
\(12,x^2 ,z^2 \)

Unlike

Both terms have same variable but with different powers

  
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