Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
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What is the answer to [(x²+4x)-2]²
1 answer:
Answer:
+ 8x³ + 12x² - 16x + 4
Step-by-step explanation:
Given
[(x² + 4x) - 2 ]² ← simplify contents of bracket
= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis
= + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms
= + 8x³ + 12x² - 16x + 4
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Answer:
120
Step-by-step explanation:
The prism shown is a triangular prism
The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )
First let's find the area of the base.
To find the area of a triangle we use this formula
where b = base length and h = height
The base length is 6ft and the height is 4ft.
Using these dimensions we plug in the values into the formula
So the area of the base is 12ft²
Finally to find the volume we multiply the area of the base by the length of the prism
12 * 10 = 120
Hence, the volume of the prism is 120ft³