Question

factorise: 9x²-16y².​

Answer 1

Answer:

${9x}^{2} - {16y}^{2} \\ (3x) {}^{2} - (4y) {}^{2} \\ (3x - 4y)(3x + 4y)$

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Answer 2

9x² - 16y² = (3x + 4y)(3x - 4y)

Given :

The expression 9x² - 16y²

To find :

To factorise the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 9x² - 16y²

Step 2 of 2 :

Factorise the expression

We use the formula a² - b² = ( a + b ) ( a - b )

Thus we get

$\sf 9 {x}^{2} - 16 {y}^{2}$

$\sf = {(3x)}^{2} - {(4y)}^{2}$

$\sf = (3x + 4y)(3x - 4y)$

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