Question

100x²-80xy+16y²
Factorise it

Answer 1

Answer:

(10x - 4y)²

Step-by-step explanation:

Given : 100x² - 80xy + 16y²

We can write this as :

→ (10x)² - 80xy + (4y)²

On comparing the equation with an identity mentioned below :

• { Identity : a² - 2ab + b² = (a - b)²

Here, a = 10x, b = 4 }

Therefore, we can write this as again :

→ (10x)² - 2(10x)(4y) + (4y)²

→ (10x - 4y)²

Other identities which are frequently used :

• (a + b)² = a² + 2ab + b²

• (a + b)(a - b) = a² - b²

• (x + a)(x + b) = x² + (a + b)x + ab

Answer 2

100x^2 - 80xy + 16y^2

(10x)^2 - 2(10x)(4y) + (4y)^2

this means

(10x - 4y)^2