Question

Resolve the following into factors: a² – 8a + 16 using this identities (a – b)² = a² – 2ab + b²​

Answer 1

Answer:

Following are the factors of a² – 8a + 16

Step-by-step explanation:

As,  (a – b)² = a² – 2ab + b²​

So applying this formula to equation we get:

$a^{2} - 2(a)(4) + 4^{2}$

or

$(a - b)^{2}$

Or

a² – 8a + 16 = $(a - b)$$(a - b)$

Answer 2

Answer:

(a-4)²

Step-by-step explanation:

a² - 8a +16

can ve written as

a² - 2*4*a + 4²

therefore by the identity,

(a-4)² = a² - 8a + 16