4) Factorise :1/2x³-3x+4
Answers
Answer:
1
Combine multiplied terms into a single fraction
1
2
3
−
3
+
4
\frac{1}{2}x^{3}-3x+4
1
3
2
−
3
+
4
\frac{1x^{3}}{2}-3x+4
2
Multiply by 1
1
3
2
−
3
+
4
\frac{1x^{3}}{2}-3x+4
3
2
−
3
+
4
\frac{x^{3}}{2}-3x+4
3
Find common denominator
3
2
−
3
+
4
\frac{x^{3}}{2}-3x+4
3
2
+
2
(
−
3
)
2
+
2
⋅
4
2
\frac{x^{3}}{2}+\frac{2(-3)x}{2}+\frac{2 \cdot 4}{2}
4
Combine fractions with common denominator
3
2
+
2
(
−
3
)
2
+
2
⋅
4
2
\frac{x^{3}}{2}+\frac{2(-3)x}{2}+\frac{2 \cdot 4}{2}
3
+
2
(
−
3
)
+
2
⋅
4
2
\frac{x^{3}+2(-3)x+2 \cdot 4}{2}
5
Multiply the numbers
3
+
2
(
−
3
)
+
2
⋅
4
2
\frac{x^{3}+{\color{#c92786}{2}}({\color{#c92786}{-3}})x+2 \cdot 4}{2}
3
−
6
+
2
⋅
4
2
\frac{x^{3}{\color{#c92786}{-6}}x+2 \cdot 4}{2}
6
Multiply the numbers
3
−
6
+
2
⋅
4
2
\frac{x^{3}-6x+{\color{#c92786}{2}} \cdot {\color{#c92786}{4}}}{2}
3
−
6
+
8
2
Step-by-step explanation:
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