2x5+10x4+6x3+x2+5x+3÷2x3+1
Answers
Step-by-step explanation:
Combine multiplied terms into a single fraction
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2x^{5}+10x^{4}+6x^{3}+x^{2}+5x+\frac{3}{2}x^{3}+1
2x5+10x4+6x3+x2+5x+23x3+1
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2x^{5}+10x^{4}+6x^{3}+x^{2}+5x+\frac{3x^{3}}{2}+1
2x5+10x4+6x3+x2+5x+23x3+1
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Find common denominator
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2x^{5}+10x^{4}+6x^{3}+x^{2}+5x+\frac{3x^{3}}{2}+1
2x5+10x4+6x3+x2+5x+23x3+1
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\frac{2 \cdot 2x^{5}}{2}+\frac{2 \cdot 10x^{4}}{2}+\frac{2 \cdot 6x^{3}}{2}+\frac{2x^{2}}{2}+\frac{2 \cdot 5x}{2}+\frac{3x^{3}}{2}+\frac{2}{2}
22⋅2x5+22⋅10x4+22⋅6x3+22x2+22⋅5x+23x3+22
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Combine fractions with common denominator
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\frac{2 \cdot 2x^{5}}{2}+\frac{2 \cdot 10x^{4}}{2}+\frac{2 \cdot 6x^{3}}{2}+\frac{2x^{2}}{2}+\frac{2 \cdot 5x}{2}+\frac{3x^{3}}{2}+\frac{2}{2}
22⋅2x5+22⋅10x4+22⋅6x3+22x2+22⋅5x+23x3+22
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\frac{2 \cdot 2x^{5}+2 \cdot 10x^{4}+2 \cdot 6x^{3}+2x^{2}+2 \cdot 5x+3x^{3}+2}{2}
22⋅2x5+2⋅10x4+2⋅6x3+2x2+2⋅5x+3x3+2
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Multiply the numbers
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\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}x^{5}+2 \cdot 10x^{4}+2 \cdot 6x^{3}+2x^{2}+2 \cdot 5x+3x^{3}+2}{2}
22⋅2x5+2⋅10x4+2⋅6x3+2x2+2⋅5x+3x3+2
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\frac{{\color{#c92786}{4}}x^{5}+2 \cdot 10x^{4}+2 \cdot 6x^{3}+2x^{2}+2 \cdot 5x+3x^{3}+2}{2}
24x5+2⋅10x4+2⋅6x3+2x2+2⋅5x+3x3+2
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Multiply the numbers
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\frac{4x^{5}+{\color{#c92786}{2}} \cdot {\color{#c92786}{10}}x^{4}+2 \cdot 6x^{3}+2x^{2}+2 \cdot 5x+3x^{3}+2}{2}
24x5+2⋅10x4+2⋅6x3+2x2+2⋅5x+3x3+2
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\frac{4x^{5}+{\color{#c92786}{20}}x^{4}+2 \cdot 6x^{3}+2x^{2}+2 \cdot 5x+3x^{3}+2}{2}
24x5+20x4+2⋅6x3+2x2+2⋅5x+3x3+2
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Multiply the numbers
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\frac{4x^{5}+20x^{4}+{\color{#c92786}{2}} \cdot {\color{#c92786}{6}}x^{3}+2x^{2}+2 \cdot 5x+3x^{3}+2}{2}
24x5+20x4+2⋅6x3+2x2+2⋅5x+3x3+2
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\frac{4x^{5}+20x^{4}+{\color{#c92786}{12}}x^{3}+2x^{2}+2 \cdot 5x+3x^{3}+2}{2}
24x5+20x4+12x3+2x2+2⋅5x+3x3+2
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Multiply the numbers
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\frac{4x^{5}+20x^{4}+12x^{3}+2x^{2}+{\color{#c92786}{2}} \cdot {\color{#c92786}{5}}x+3x^{3}+2}{2}
24x5+20x4+12x3+2x2+2⋅5x+3x3+2
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\frac{4x^{5}+20x^{4}+12x^{3}+2x^{2}+{\color{#c92786}{10}}x+3x^{3}+2}{2}
24x5+20x4+12x3+2x2+10x+3x3+2
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Combine like terms
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\frac{4x^{5}+20x^{4}+{\color{#c92786}{12x^{3}}}+2x^{2}+10x+{\color{#c92786}{3x^{3}}}+2}{2}
24x5+20x4+12x3+2x2+10x+3x3+2
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