Subtract -5x^2-9x+8−5x 2 −9x+8 from -6x^2+5−6x 2 +5.

Mathematics

1 answer:

Lemur [1.5K]4 years ago

5 0

Answer:

−10x2+−18x+26

Step-by-step explanation:

Let's simplify step-by-step.

−5x2−9x+8−5x2−9x+8−−6x2+5−6x2+5

=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5

Combine Like Terms:

=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5

=(−5x2+−5x2+6x2+−6x2)+(−9x+−9x)+(8+8+5+5)

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$\\ \\ \\ =-\frac { 2 }{ 3 } \cdot \frac { 1 }{ 8 } -\frac { 5 }{ 2 } \cdot \frac { 1 }{ 4 } +\frac { 3 }{ 2 } -\left\{ -\frac { 2 }{ 3 } \left( -27 \right) -\frac { 5 }{ 2 } \cdot 9-9 \right\}$

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$\\ \\ =-\frac { 2 }{ 24 } -\frac { 15 }{ 24 } +\frac { 36 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +9$

$\\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +\frac { 18 }{ 2 } \\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 63 }{ 2 }$

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Answer: 343/24 units squared.

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