Factorise: (3/2)x2-x-(4/3)
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Combine multiplied terms into a single fraction
322−−1(43)
\frac{3}{2}x^{2}-x-1(\frac{4}{3})23x2−x−1(34)
322−−1(43)
Multiply the numbers
322−−1⋅43
\frac{3x^{2}}{2}-x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{4}{3}}}23x2−x−1⋅34
322−−43
322−−43
\frac{3x^{2}}{2}-x-\frac{4}{3}23x2−x−34
322+2(−)2+2(−43)2
\frac{3x^{2}}{2}+\frac{2\left(-x\right)}{2}+\frac{2\left(-\frac{4}{3}\right)}{2}23x2+22(−x)+22(−34)
Combine fractions with common denominator
322+2(−)2+2(−43)2
\frac{3x^{2}}{2}+\frac{2\left(-x\right)}{2}+\frac{2\left(-\frac{4}{3}\right)}{2}23x2+22(−x)+22(−34)
32+2(−)+2(−4
Solution
32−2−832
\frac{3x^{2}-2x-\frac{8}{3}}{2}23x2−2x−38
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