Question

2. Factorise: 49x2 – 64y2​

Answer 1

Answer:

Step-by-step explanation:

49x^2-64y^2

7x-8y

Answer 2

The answer is (7x + 8y)(7x - 8y)

GIVEN

Algebraic equation:

49x² - 64y²

TO FIND

To factorise

SOLUTION

The above problem can be simply solved as follows;

49x² can be written as = (7x)²

similarly,

64y² = (8y)²

The equation can be written as;

(7x)² - (8y)²

As both are perfect squares

a² - b² = (a+b) (a-b)

Where,

a = 7x

b = 8y

Putting the values,

= (7x + 8y)(7x - 8y)

Hence, The answer is (7x + 8y)(7x - 8y)

#SPJ2