Answer
(2x⁵ – 3x⁴ + 7) - (-x⁵ - 3x⁴ - 3) = 3x⁵ + 10
Step-by-step explanation
We are asked to simplify the equation
(2x⁵ – 3x⁴ + 7) - (-x⁵ - 3x⁴ - 3)
To do this, we will first open the brackets, then we will simplify further by adding or subtracting like terms.
(2x⁵ – 3x⁴ + 7) - (-x⁵ - 3x⁴ - 3)
= 2x⁵ – 3x⁴ + 7 + x⁵ + 3x⁴ + 3
= 2x⁵ + x⁵ - 3x⁴ + 3x⁴ + 7 + 3
= 3x⁵ + 0x⁴ + 10
= 3x⁵ + 10
Hope this Helps!!!
(5/8) ÷ (15/16) + (1/2)
To do this, we will use the order of operation pnemonic, PEMDAS
And in that order of operations, division comes before the addition is done.
So, we solve the first part first
(5/8) ÷ (15/16)
= (5/8) × (16/15)
= (80/120)
= (2/3)
(5/8) ÷ (15/16) + (1/2)
= (2/3) + (1/2)
We take LCM of the denominators first
(2/3) + (1/2) = (7/6)
(5/8) ÷ (15/16) + (1/2) = (7/6)
Hope this Helps!!!