The like terms in 3x (3 - 2y) and 2 (xy + x²) are
(a) 9x and 2x²
(b) -6xy and 2xy
(c) 9x and 2xy
(d) -6xy and 2x²

Solution:

Given, the expressions are 3x (3 - 2y) and 2 (xy + x²).

We have to find the like terms.

The terms having the same algebraic factors are called like terms.

3x (3 - 2y) = 3x(3) - 3x(2y)

= 9x - 6xy ----------------------------- (1)

2 (xy + x²) = 2(xy) + 2(x²)

= 2xy + 2x² --------------------------- (2)

From (1) and (2),

Terms having same algebraic factors = -6xy and 2xy

Therefore, the like terms are -6xy and 2xy.

✦ Try This: The like terms in 2x (2 + 6y) and 5 (xy + 3x²) are

(a) 4x and 6x²

(b) 12xy and 5xy

(c) 4x and 6xy

(d) -3xy and 4x²

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

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NCERT Exemplar Class 7 Maths Chapter 10 Sample Problem 1

The like terms in 3x (3 - 2y) and 2 (xy + x²) are (a) 9x and 2x² (b) -6xy and 2xy (c) 9x and 2xy (d) -6xy and 2x²

Summary:

The like terms in 3x (3 - 2y) and 2 (xy + x²) are -6xy and 2xy.

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