Question

*Chose the factors of 4 x² - 36 y² from the given options .* 1️⃣ ( 2x + 6y) (2x -6y ) 2️⃣ 4 (x+y ) (x -y) 3️⃣ 4 (x +3 y) (x - y) 4️⃣ (2x² + 6y² ) (2 x² - 6y²)​

Answer 1

Step-by-step explanation:

$4 {x}^{2} - 36 {y}^{2} \\ = {(2x)}^{2} - {(6y)}^{2} = (2x - 6y)(2x + 6y)$

Answer 2

The factors of 4x² - 36y² is (2x + 6y) (2x - 6y)

Given :

The expression 4x² - 36y²

To find :

The factors of 4x² - 36y² is

1️⃣ (2x + 6y) (2x - 6y)

2️⃣ 4(x + y ) (x - y)

3️⃣ 4(x + 3y) (x - y)

4️⃣ (2x² + 6y²) (2x² - 6y²)

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is 4x² - 36y²

Step 2 of 2 :

Find factors of 4x² - 36y²

We are aware of the identity that

a² - b² = (a + b) (a - b)

Thus we get

$\displaystyle \sf{ 4 {x}^{2} - 36 {y}^{2} }$

$\displaystyle \sf{ = {(2x)}^{2} - {(6y)}^{2} }$

$\displaystyle \sf{ = (2x + 6y)(2x - 6y) }$

So the factors of 4x² - 36y² is (2x + 6y) (2x - 6y)

Hence the correct option is 1️⃣ (2x + 6y) (2x - 6y)

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