Question

Factorise it.............

Answer 1

Required Answer:-

Given to factorise:

• 75x² - 3(x - y)²

Solution:

In this question, we will apply the formula a² - b² = (a + b)(a - b) to factorise the polynomial.

Here is the solution.

75x² - 3(x - y)²

= 3 × [25x² - (x - y)²]

Now, 25x² - (x - y)² can be expressed as a difference of two squares. So,

= 3 × [(5x)² - (x - y)²]

= 3 × [5x + (x - y)][5x - (x - y)]

= 3 × [5x + x - y][5x - x + y]

= 3(6x - y)(4x + y)

Hence, the factorised form is 3(6x - y)(4x + y)

Answer:

• The factorised form of the given polynomial is 3(6x - y)(4x + y)

Answer 2

To factorise:-

• 75x²-3(x-y)²

Solution:-

It can be solved using a²-b² formula

We know,

a²-b²=(a+b)(a-b)

In the same way,

75x²-3(x-y)².......[Taking 3 as common.....]

3[25x²-(x-y)²]

3[(5x)²-(x-y)²]

3[(5x+x-y)(5x-x+y)]

3(6x-y)(4x+y)

Correct answer:-

• 3(6x-y)+(4x+y)