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(49x9−56x8+3x7−49x6)/(−7x6)(49x^{9}-56x^{8}+3x^{7}-49x^{6})/(-7x^{6})

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Full solution

Q. (49x9−56x8+3x7−49x6)/(−7x6)(49x^{9}-56x^{8}+3x^{7}-49x^{6})/(-7x^{6})
  1. Divide by −7x6-7x^6: To simplify the given expression, we will divide each term in the numerator by the term in the denominator.
  2. Divide by −7x6-7x^6: First, divide 49x949x^9 by −7x6-7x^6.49x9−7x6=−7x(9−6)=−7x3\frac{49x^9}{-7x^6} = -7x^{(9-6)} = -7x^3
  3. Divide by −7x6-7x^6: Next, divide −56x8-56x^8 by −7x6-7x^6.−56x8/−7x6=8x(8−6)=8x2-56x^8 / -7x^6 = 8x^{(8-6)} = 8x^2
  4. Divide by −7x6-7x^6: Then, divide 3x73x^7 by −7x6-7x^6.3x7−7x6=−37x(7−6)=−37x\frac{3x^7}{-7x^6} = \frac{-3}{7}x^{(7-6)} = \frac{-3}{7}x
  5. Combine simplified terms: Finally, divide −49x6-49x^6 by −7x6-7x^6.−49x6−7x6=7x(6−6)=7\frac{-49x^6}{-7x^6} = 7x^{(6-6)} = 7
  6. Combine simplified terms: Finally, divide −49x6-49x^6 by −7x6-7x^6.−49x6/−7x6=7x(6−6)=7-49x^6 / -7x^6 = 7x^{(6-6)} = 7Combine all the simplified terms to get the final answer.(−7x3)+(8x2)−(37x)+7(-7x^3) + (8x^2) - (\frac{3}{7}x) + 7

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