Question

Evaluate the expression 1^4 + 3(10- 2 2)2 . Show your work.

Answer 1

• 193

Solution:

Here, we have to solve a experience using the formula :

• ( a -b )² = a² + b² - 2ab

Therefore, on solving the given expression:

➙ 1⁴ + 3 ( 10 - 2 )²

➙ 1 + 3 ( 10² + 2² - 2 × 10 × 2 )

➙ 1 + 3 ( 10 × 10 + 2 × 2 - 40 )

➙ 1 + 3 ( 100 + 4 - 40 )

➙ 1 + 3 × ( 104 - 40 )

➙ 1 + 3 × 64

➙ 1 + 192

➙ 193

• Or directly putting values:

➙ 1⁴ + 3( 10 - 2 ) ²

➙ 1 + 3 × ( 8 ) ²

➙ 1 + 3 × 64

➙ 1 + 192

➙ 193

‎ㅤ‎ㅤ‎ㅤ~Hence, your answer is 193.

Answer 2

Hey there!

1^4 + 3(10 - 2)^2

1^4

= 1 * 1 * 1 * 1

= 1 * 1

= 1

1 + 3(10 - 2)^2

= 1 + 3(8)^2

= 1 + 3(8^2)

= 1 + 3(8 * 8)

= 1 + 3(64)

= 1 + 64 + 64 + 64

= 1 + 128 + 64

= 1 + 192

= 193

Therefore, your answer is: 193

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)