Question

The square of (3x - 4y) is​

Answer 1

Answer:

9x² + 16y² - 24xy

Step-by-step explanation:

(a - b)²     = a² + b² - 2ab

(3x - 4y)² = (3x)² + (4y)² - 2×3x×4y

               = 9x² + 16y² - 24xy

Answer 2

The square of (3x - 4y) is 9x² - 24xy + 16y²

Given :

The expression 3x - 4y

To find :

The square of (3x - 4y)

Formula :

(a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 3x - 4y

Step 2 of 2 :

Find the square of (3x - 4y)

We are aware of the identity that

(a - b)² = a² - 2ab + b²

Thus we get ,

The square of (3x - 4y)

= (3x - 4y)²

= (3x)² - 2 × 3x × 4y + (4y)²

= 9x² - 24xy + 16y²

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