Question

Factorise 24x²y²-36x²y​

Answer 1

Answer:

12ײ(× - 3y)

Step-by-step explanation:

Find the common factor:

24=12×2

36=12×3

Common factor of 24 and 36 =12

Answer 2

Answer:

12x²y(2y - 3)

Step-by-step explanation:

To find the solution to this question, we can use the concepts:

- Finding common factors of terms

- Expansion of terms

1st method:

Let's begin by finding the common factors of the two terms in 24x²y²-36x²y​:

24 = 12 × 2

36 = 12 × 3

Therefore, the common factor is 12

24x²y² - 36x²y = 12x²y(2y - 3)

Therefore, the solution is 12x²y(2y - 3)

2nd method:

We can also solve this question by expanding the terms of 24x²y² - 36x²y:

24x²y² = (2 × 2 × 2 × 3 × x × x × y × y)

36x²y  = (2 × 2 × 3 × 3 × x × x × y)

Now, let's put this in to the equation:

(2 × 2 × 2 × 3 × x × x × y × y) - (2 × 2 × 3 × 3 × x × x × y)

= 12x²y{(2) - (3 × y)}     [We need to pull out the common digits and variables]

= 12x²y(2y - 3)

Therefore, the solution here as well is 12x²y(2y - 3)

Hence proved

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