Question

Factor the expression over the complex numbers. y^2+49

Answer 1

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Heya

y² + 49

= (y)² + (7)²

Using identity

a² + b² = (a + b)² - 2ab

= (y + 7)² - 2(y)(7)

= (y + 7)² - 14y

Hope this helps you.

Answer 2

Answer:

Factor the expression over the complex numbers is $y^2+49=(y+7i)(y-7i)$

Step-by-step explanation:

Given : Expression $y^2+49$

To find : Factor the expression over the complex numbers ?

Solution :

To get the factors we equate the expression to zero,

$y^2+49=0$

$y^2=-49$

$y=\pm \sqrt{-49}$

$y=\pm 7i$

The factors are $(y+7i)(y-7i)$.

Therefore, Factor the expression over the complex numbers is $y^2+49=(y+7i)(y-7i)$