Answer:
1). Option E
2). Option H
3). Option C
4). Option J
5). Option C
Step-by-step explanation:
1). (5x + 3xy + 4y) + (4x - 2xy - 2y)
= (5x + 4x) + (3xy - 2xy) + (4y - 2y)
= 9x + xy + 2y
Option E. is the answer.
2). 5y + 2z + 3x²- (2y - 2z + 4x)
= 5y - 2y - 4x + 2z + 2z + 3x²
= 3y - 4x + 4z + 3x²
Option H is the answer.
3). (x - 1)(x + 1)(x - 1)
= (x² - 1)(x - 1) [Since (a - b)(a + b) = a² - b²]
= x²(x - 1) - 1(x - 1)
= x³ - x² - x + 1
Option C is the answer.
4). (2a + 6)²
= 4a² + 24a + 36
[Since (a + b)² = a² - 2ab + b²]
Option J. is the answer.
5). For subtraction,
(6 - 1)³ - (4 - 1)²
= 5³ - 3²
= 125 - 9
= 116
But the result is 200 so operation subtraction is not the answer.
For Multiplication,
(6 × 1)³ - (4 × 1)²
= 6³ - 4²
= 216 - 16
= 200
For division,
(6 ÷ 1)³ - (4 ÷ 1)²
= 6³ - 4²
= 216 - 16
= 200
Therefore, Option C. is the answer.