1.

100x²-80xy+16y²Factorise it

Answer»

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


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