HELP ME IN ANSWERING THIS TOUGHEST QUESTION I WILL MARK U THE BRAINLIE

1.	HELP ME IN ANSWERING THIS TOUGHEST QUESTION I WILL MARK U THE BRAINLIEST AND FOLLOW
Answer» a + b + c = 4 a² + b² + c² = 10 (a + b + c)² -2(ab + BC + CA) = 10 (4)² -2(ab + bc + ca) = 10 2(ab + bc + ca) = 6 ab + bc + ca = 3 a³ + b³ + c³ = 22 (a + b + c)(a² + b² + c² -ab -bc - ca) -3abc = 22 (4) (10 -3) -3abc = 22 3abc = 28 - 22 3abc = 6 abc = 2 (a² + b² + c²)² = a⁴ + b⁴ + c⁴ + 2(a²b² +b²c² +c²a²) (10)² = a⁴ + b⁴ + c⁴ + 2{ (ab + bc + ca)² - 2(ab²c + bc²a + a²bc) } 100 = a⁴ + b⁴ + c⁴ + 2{ (3)² -2abc(a + b + c) } 100 = a⁴ + b⁴ + c⁴ + 2{ 9 - 2 × 2(4) } 100 = a⁴ + b⁴ + c⁴ + 2 × -7 a⁴ + b⁴ + c⁴ = 100 + 14 a⁴ + b⁴ + c⁴ = 114 *Hope* it *helped* *you, if it did* *MARK* me *BRAINLIEST* ❤❤❤

HELP ME IN ANSWERING THIS TOUGHEST QUESTION I WILL MARK U THE BRAINLIEST AND FOLLOW

Answer»

a + b + c = 4

a² + b² + c² = 10

(a + b + c)² -2(ab + BC + CA) = 10

(4)² -2(ab + bc + ca) = 10

2(ab + bc + ca) = 6

ab + bc + ca = 3

a³ + b³ + c³ = 22

(a + b + c)(a² + b² + c² -ab -bc - ca) -3abc = 22

(4) (10 -3) -3abc = 22

3abc = 28 - 22

3abc = 6

abc = 2

(a² + b² + c²)² = a⁴ + b⁴ + c⁴ + 2(a²b² +b²c² +c²a²)

(10)² = a⁴ + b⁴ + c⁴ + 2{ (ab + bc + ca)² - 2(ab²c + bc²a + a²bc) }

100 = a⁴ + b⁴ + c⁴ + 2{ (3)² -2abc(a + b + c) }

100 = a⁴ + b⁴ + c⁴ + 2{ 9 - 2 × 2(4) }

100 = a⁴ + b⁴ + c⁴ + 2 × -7

a⁴ + b⁴ + c⁴ = 100 + 14

a⁴ + b⁴ + c⁴ = 114

Hope it helped you, if it did MARK me BRAINLIEST ❤❤❤