subtracted the sum of 3x²-6+5x and 2x+5-7x² from the sum of x²+2x+9 and -2x²-11+12x. please solve it is urgent please
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Answer:
-3x²+7x-1
Step-by-step explanation:
Given,
p(x)= 3x²-6+5x
= 3x²+5x-6
q(x)= 2x+5-7x²
= -7x²+2x+5
r(x)= x²+2x+9
= x²+2x+9
s(x)= -2x²-11+12x
= -2x²+12-11
Solution,
Step: 1
p(x)+q(x)
=> (3x²+5x-6) + (-7x²+2x+5)
=> -4x²+7x-1 •••••••••• 《1》
Step: 2
r(x)+s(x)
=> (x²+2x+9) + (-2x²+12-11)
=> -x²+14x-2 ••••••••••《2》
Step: 3
Subtract 《1》from《2》
=> (-x²+14x-2) - (-4x²+7x-1)
=> (-x²+14x-2) - (4x²-7x+1)
=> -3x²+7x-1
Therefore, (x²+2x+9)+(-2x²+12-11) - (3x²+5x-6)+(-7x²+2x+5)= -3x²+7x-1
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