Please answer these questions step by step
Answers
Answer:
Simplify:
i) 2p³ - 3p² + 4p -5 -6p³ + 2p² - 8p - 2 + 6p + 8
= 2p³ - 6p³ - 3p³ + 2p² + 4p - 8p + 6p - 5 - 2 + 8
= - 4p³ - p² + 2p + 1
ii) 2x² - xy + 6x - 4y + 5xy - 4x + 6x² + 3y
= 2x² + 6x² - xy + 5xy + 6x - 4x - 4y + 3y
= 8 x² + 4xy + 2x - y
iii) x⁴ - 6x³ +3x -7 +7x³ -x+5x² + 2-x⁴
= x⁴- x⁴ -6x³ +7x³ +3x -x -7+ 2 +5x²
= x³ + 2x - 5 + 5x²
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Sum of 3x²-5x+2 and -5x² - 8x +6
= -2x² - 13x + 8
3x² -5x +2
-5x² -8x +6
__________
-2x² -13x +8
___________
Difference :–
-2x² -13x +8
4x² -9x +7
- + -
__________
-6x² -4x +1
__________
= -6x² -4x +1
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To show, A+B+C= 0
first, let's add A and B
So,
7x² +5xy -9y²
- 4x² + xy +5y²
__________
3x² +6xy -4y²
__________
= 3x² +6xy -4y²
Now let's add the sum of A and B to C
so,
3x² +6xy -4y²
-3x² -6xy +4y²
___________
0
___________
Cleary, A+B+C = 0
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x³ +3x² - x +1
5x³ -2ײ +6x +7
- + - -
_____________
-4x³ +5x² -7x -6
_____________
so, the required no. is -4x³ +5x² -7x -6
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