Question

.Factorise : 121x²- 36 y²​

Answer 1

Answer:

(11x-6y)(11x+6y)

Step-by-step explanation:

121x²-36y²=(11x)²-(6y)²=(11x-6y)(11x+6y)

a²-b²=(a+b)(a-b)

Answer 2

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Answer:

( 11x + 6y ) ( 11x - 6y )

Step-by-step explanation:

$\sf121 {x}^{2} - 36 {y}^{2}$

$\sf= {(11x)}^{2} - {(6y)}^{2}$

Identity:

$\small \sf{ {a}^{2} - {b}^{2} = (a + b) \:( a - b)}$

$\sf = (11x + 6y) \: (11x - 6y)$

Concept:

In this type of questions first we will make factors of 121x² we know that 11 × 11 = 121. So 11² = 121 and same way x × x = x². Therefore factors of 121x² are 11² and x² which can be written as ( 11x )².

Similarly,

We will make factors of 36y² we know that 6 × 6a² = 36 or 6² = 36; Same way y × y = y² i.e. 6² and y² we can write common power to both as ( 6y )²

Now on factorising further:

We will use identity which says,

a² - b² = ( a + b ) ( a - b )

So

Take,

( 11x )² = a

( 6y )² = b

Therefore,

( 11x - 6y ) ( 11x + 6y )

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