Question
Factorise: $\frac{64}{125}\text{a}^3-\frac{96}{25}\text{a}^2+\frac{48}{5}\text{a}-8$
✓
Answer
$\frac{64}{125}\text{a}^3-\frac{96}{25}\text{a}^2+\frac{48}{5}\text{a}-8$ $\Big(\frac{4}{5}\text{a}\Big)^3-(2)^3-3\Big(\frac{4}{5}\text{a}\Big)^2(2)+3\Big(\frac{4}{5}\text{a}\Big)(2)^2$ $=\Big(\frac{4}{5}\text{a}-2\Big)^3$ Hence, factorisatoin of $\frac{64}{125}\text{a}^3-\frac{96}{25}\text{a}^2+\frac{48}{5}\text{a}-8$ is $\Big(\frac{4}{5}\text{a}-2\Big)^3$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
State whether the following statements are true or false? Justify your answer. There are numbers which cannot be written in the form $\frac{\text{p}}{\text{q}},\text{ q}\neq0, \text{ p, q}$ both are integers.
→Solve the equation 2y - 1 = y + 1 and represent it graphically on the coordinate plane
The following expression are polynomials in one variable and which are not? State the reasons for your answer. $3\sqrt{\text{x}}+\sqrt{2}\text{x}$
→Classify as linear, quadratic and cubic polynomials:
$3t$
→$3t$
Find two irrational numbers between $0.16$ and $0.17.$
→A hemi spherical bowl has a radius of $3.5\ cm.$ What would be the volume of water it would contain$?$
→See Fig. and write the abscissa of the point $D.$
→Write the equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c : 4 = 5x – 3y$
→Find the zero of the polynomial: $q(x) = x + 4$
→Let $x$ and $y$ be rational and irrational numbers, respectively. Is $x + y$ necessarily an irrational number$?$ Give an example in support of your answer.
→