Question

Factorise 4y^2 - 9
(using factorisation properties)​

Answer 1

The answer would be (2y-3)(2y+3).

This is because both 4 and 9 are square numbers (2^2 and 3^2).

Answer 2

( 2y - 3 ) × ( 2y + 3 )

Explanation:

Step 1 : -

4y² - 9 is your question

Write the number in the exponential form with an exponent of 2

It becomes, 2²y² - 9

Now, Write 2²y² - 9 in the exponential form with an exponent of 2

Now, it becomes 2²y² - 3²

Step 2 : -

2²y² - 3²

Multiply the terms with equal exponents by multiplying

their bases

Now, it becomes ( 2y )² - 3²

Step 3 : -

( 2y )² - 3²

Use

a² - b² = ( a - b ) ( a + b ) to Factor the expression

Now, The Answer is ready

( 2y - 3 ) × ( 2y + 3 )

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