Question

Factorise the following

$\begin{gathered} \sf{ {x}^{16} - {y}^{16} + {x}^{8} + {y}^{8} }\end{gathered}x16−y16+x8+y8$
​

Answer 1

Answer:

= 345 is answer

Step-by-step explanation:

एक्स स्क्वायर प्लस 1 परसेंट ऑफ एक्स

Answer 2

Step-by-step explanation:

y16

Simplify ———

x8

Equation at the end of step

y16

((x16) - ———) + y8

x8

STEP 2

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x8 as the denominator :

x16 x16 • x8

x16 = ——— = ——

1 x8

x16 • x8 - (y16) x24 - y16

_______________________= _

(x24 - y16)

_________ + y8

x8

y8 y8 • x8

y8 = —— = ————

1 x8

☆___________________☆

Factoring: x24 - y16

Check : x24 is the square of x12

Check : y16 is the square of y8

Factorization is : (x12 + y8) • (x12 - y8)

Trying to factor as a Sum of Cubes:

3.3 Factoring: x12 + y8

(x12+y8) • (x6+y4) • (x3+y2) (x3-y2) + y8 • x8

__________________________________

x8

x24+x8y8-y16

______________________

x8

x24 + x8y8 + y16

——————————= answer●☆

x8