Match each expression to its equivalent standard form
2 answers:
Move the first one to the bottom,then the second to the top ans you will know where to put the rest
Answer:
1. x² + 2x + 2
2. x² + 4
3. x² - 4x + 8
Step-by-step explanation:
(1) ( x+1+i ) ( x+1-i )
= ( x+1 )²- i² [ Since ( a+b ) ( a-b ) = a² - b² ]
= x² + 1 + 2x - ( √-1 )²
= x² + 1 + 2x + 1
= x² + 2x + 2
(2) ( x+2i ) ( x - 2i )
= x² - (2i)² [ ( a+b ) ( a-b ) = a² b²
= x² - 4i²
= x² - 4 (-1) [Since i² = -1 ]
= x² + 4
(3) ( x - 2i - 2 ) (x + 2i - 2 )
= ( x-2 )² - ( 2i )² [ ( a+b ) ( a-b ) = a² - b² ]
= x² + 4 - 4x - 4 ( i )²
= x² + 4 - 4x - 4 ( -1 )²
= x² - 4x + 4 + 4
= x² - 4x + 8
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Answer:
15 inches
Step-by-step explanation:
Perimeter is 2l + 2w (or l+l+w+w)
Start by subtracting: 42 - 12. The 12 is from 2•6 for both width sides.
42-12=30
Divide 30 by 2 to find the length for one side. 30 ÷ 2 = 15
The answer to your question is 25.
400,000+80,000+4,000+100+60+8
recall that 3 * 2 = 6, and 3x + 2x = 5x.
Answer:
$378
Step-by-step explanation:
Full price: 1.00($450) = $450
20% off: 0.20($450) = $90
Sale price (after 20% off): (1.00 - 0.20)($450) = 0.80($450) = $360
Final price, including tax: (1.00 + 0.05)($360) = $378
