subtract 6x⁵+2x³-3x²+9 from 4x²+4x²+9x+2
Answers
Question 1:
( 2x³ + 5x² - 2x + 7 ) + ( x³ + 4x² - x + 6 )
= 2x³ + 5x² - 2x + 7 + x³ + 4x² - x + 6
= 2x³ + x³ + 5x² + 4x² - 2x - x + 7 + 6
= 3x³ + 9x² - 3x + 13
Question 2:
( 3x³ - 2x² - x + 4 ) + ( 2x³ + 7x² - 3x - 3 )
= 3x³ - 2x² - x + 4 + 2x³ + 7x² - 3x - 3
= 3x³ + 2x³ - 2x² + 7x² - x - 3x + 4 - 3
= 5x³ + 5x² - 4x + 1
Question 3:
2 ( x³ - x² + 6x - 2 ) + ( 5x⁶ + 7x⁵ - 3x - 3 )
= 2x³ - 2x² + 12x - 4 + 5x⁶ + 7x⁵ - 3x - 3
= 5x⁶ + 7x⁵ + 2x³ - 2x² + 12x - 3x - 4 - 3
= 5x⁶ + 7x⁵ + 2x³ - 2x² + 9x - 7
Question 4:
-1 ( x⁶ + x³ + 6x² - 2 ) + 2 ( 5x⁶ + 7x⁵ - 3x - 3 )
= - x⁶ - x³ - 6x² + 2 + 10 x⁶ + 14x⁵ - 6x - 6
= - x⁶ + 10 x⁶ + 14x⁵ - x³ - 6x² - 6x + 2 - 6
= 9x⁶ + 14x⁵ - x³ - 6x² - 6x - 4
Question 5:
5 ( 5x⁶ + 2x³ - 6x² - 2 ) + 6 ( -3x⁶ + 2x⁵ + 2x + 1 )
= 25x⁶ + 10x³ - 30x² - 10 -18x⁶ + 12x⁵ + 12x + 6
= 25x⁶ -18x⁶ + 12x⁵ + 10x³ - 30x² + 12x -10 + 6
= 7x⁶ + 12x⁵ + 10x³ - 30x² + 12x - 4
Question 6:
-2 ( 2x⁴ - 2x³ - x² + 5 ) + 3 ( 2x⁴ - 2x² - 3 )
= -4x⁴ + 4x³ + 2x² -10 + 6x⁴ - 6x² - 9
= -4x⁴ + 6x⁴ + 4x³ + 2x² - 6x² -10 - 9
= 2x⁴ + 4x³ - 4x² - 19
Question 7:
5 ( x⁴ - x³ + 5 ) + 2 ( x⁴ - 5x² - 7 )
= 5x⁴ - 5 x³ + 25 + 2x⁴ - 10x² - 14
= 5x⁴ + 2x⁴ - 5x³ - 10x² + 25 - 14
= 7x⁴ - 15x³ + 11
Question 8:
3 ( 6x⁴ - 2x³ - 3 ) + 2 ( 2x⁴ - x² - 8 )
= 18x⁴ - 6x³ - 9 + 4x⁴ -2x² - 16
= 18x⁴ + 4x⁴ - 6x³ -2x² - 9 - 16
= 22 x⁴ - 6x³ -2x² - 25
Question 9:
( 6x⁷ - 2x⁶ - 3x³ + 2x² ) + 2 ( 2x⁴ + 5x⁷ + 3x⁶ + x³ + x² )
= 6x⁷ - 2x⁶ - 3x³ + 2x² + 4x⁴ + 10x⁷ + 6x⁶ + 2x³ + 2x²
= 6x⁷ + 10x⁷- 2x⁶ + 6x⁶ + 4x⁴ - 3x³ + 2x³ + 2x² + 2x²
= 16x⁷ + 4x⁶ + 4x⁴ - x³ + 4x²
Question 10:
( x⁷ - 3x⁶ - 2x³ + x² ) + 5 ( 3x⁴ + 15x⁷ + 4x⁶ + 2x³ + 6x² )
= x⁷ - 3x⁶ - 2x³ + x² + 15x⁴ + 75x⁷ + 20x⁶ + 10x³ + 30x²
= x⁷ + 75x⁷- 3x⁶ + 20x⁶ - 2x³ + 10x³ + x² + 30x²
= 76 x⁷ + 17 x⁶ + 8 x³ + 31 x²
i hope it's so well