cpadoc7567
10.01.2021 •
Mathematics
Which product will result in a sum or difference of cubes?
O (x + 7)(x2 – 7x + 14)
O (X + 8)(x2 + 8x + 64)
O (x – 9)(x? mox +81)
O (X – 10)(x2 – 10x + 100)
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Ответ:
(x – 9)(x² + 9x+81)
Step-by-step explanation:
The sum of cubes of a and b is given by:
a³ + b³ = (a + b)(a² - ab + b²)
While the difference of cubes is given as:
a³ - b³ = (a - b)(a² + ab + b²)
1) (x + 7)(x² – 7x + 14) = x³ -7x² + 14x + 7x² - 49x + 98
= x³ -35x + 98
2) (X + 8)(x² + 8x + 64) = x³ + 8x² + 64x + 8x² + 64x + 512
= x³ + 16x² + 128x + 8³
3) (x – 9)(x² + 9x+81) = x³ + 9x² + 81x - 9x² - 81x - 729
= x³ - 9³
4) (X – 10)(x² – 10x + 100) = x³ - 10x² + 100x - 10x² + 100x - 1000
= x³ - 20x² + 200x - 10³
Ответ:
170 in^2
Step-by-step explanation:
you have to find the area of each surface of the square
1) the square on the right side:
5x5=25 in^2
there are 2 of these on opposite sides
2)the of the rectangle facing us;
6x5=30in^2 (5 because 5 is the height)
there are 4 of these
3)add up all the areas
25+25+30+30+30+30=170in^2