Find the squares of the following algebraic expressions

(i) 2x + 3y

(ii) x + 2

(iii) 2x + 1

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Solution

We know that (x + y)² = x² + y² + 2xy

(i)

Square of 2x + 3y = (2x + 3y)²

= (2x)² + (3y)² + 2 × 2x × 3y

= 4x²+ 9y² + 12xy

(ii)

Square of x + 2 = (x + 2)²

= (x)² + (ii)² + 2 × 2 × x

= x² + 4 + 4x

(iii)

Square of 2x + 1 = (2x + 1)²

= (2x)² + (i)²+ 2 × 2x × 1

= 4x² + 1+ 4x

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Similar questions

Find the squares of the algebraic expressions given below:

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(ii) x − 2

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