Question

Factorise: (3/2)x2-x-(4/3)​

Answer 1

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Combine multiplied terms into a single fraction

322−−1(43)

\frac{3}{2}x^{2}-x-1(\frac{4}{3})23​x2−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​​

Answer 2

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