Question

Factorise the following x²-4y²​

Answer 1

Answer:

• (x + 4y) (x - 4y)

Given:

• Factorize $\sf{x}^{2}$ - $\sf{4y}^{2}$

To Find:

• To factorize

Concept:

The question say here to factorize $\sf{x}^{2}$ - $\sf{4y}^{2}$ and we have to factorize it.

$\Large{\mathfrak{\underline{As\:we\:know\:that}}}$

$\: \: \: \sf \red\implies \: ( {a}^{2} - {b}^{2} ) \\ \\ \: \: \: \sf \red \implies \: (a + b) \: (a - b)$

Now, from this formula we will factorize the question.

$\: \: \: \sf \green \leadsto \: {x}^{2} - {4y}^{2} \\ \\ \: \: \: \sf \green \leadsto \: (x + 4y) \: (x - 4y)$

Hence, it is factorize and it's value is (x +4y) (x -4y).

Answer 2

# Answer #

➝ Given :-

• x² – 4y²

➝ To Find

• X² – 4Y²
• (X)² – (2Y)²
• ( X – 2Y ) ( X + 2Y ) { ( A )² – ( B )² = ( A – B ) ( A + B ) ]
• X ( X + 2Y ) – 2 ( X + 2Y )
• X² + 2XY – 2X – 4Y
• X ( X + 2Y – 2 ) – 4Y

I hope it helps you