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enyata [817]
3 years ago
6

The sum of the polynomials 6x3 + 8x2 – 2x + 4 and 10x3 + x2 + 11x + 9 is

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

16x^2 + 9x^2 + 9x + 13.

Step-by-step explanation:

6x^3 + 8x^2 – 2x + 4 +10x^3 + x^2 + 11x + 9

Bringing like terms together:

= 6x^3 + 10x^3 + 8x^2 + x^2 - 2x + 11x + 4 + 9

= 16x^2 + 9x^2 + 9x + 13.  (answer).

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Now, If the exponent was negative like you asked....

\left( \frac{27x^3}{8y^9}\right)^ {-\frac{5}{3}} \\\\\\ =\left( \frac{8y^9}{27x^3}\right)^ {\frac{5}{3}}\\\\\\ =\left( \frac{(2y^3)^3}{(3x)^3}\right)^ \frac{5}{3} \\\\\\ = \frac{(2y^3)^{3 \times \frac{5}{3} }}{(3x)^{3 \times \frac{5}{3} }} \\\\\\ =\frac{(2y^3)^{5 }}{(3x)^5} \\\\\\ =\frac{32y^{15}}{243x^5}

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