Question
Factorise: $\frac{25}{4} x^{2}-\frac{y^{2}}{9}.$
✓
Answer
$a^2-b^2=(a+b)(a-b)$
$\frac{25 x^{2}}{4}-\frac{y^{2}}{9}=\left(\frac{5}{2} x\right)^{2}-\left(\frac{y}{3}\right)^{2}$
$=\left(\frac{5}{2} x+\frac{y}{3}\right)\left(\frac{5}{2} x-\frac{y}{3}\right)$
$\frac{25 x^{2}}{4}-\frac{y^{2}}{9}=\left(\frac{5}{2} x\right)^{2}-\left(\frac{y}{3}\right)^{2}$
$=\left(\frac{5}{2} x+\frac{y}{3}\right)\left(\frac{5}{2} x-\frac{y}{3}\right)$
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
At how many points can two lines at the most intersect?
Write the value of $\sqrt[3]{7} \times \sqrt[3]{49}$
→Factorise:
$x^2+x y-2 x z-2 y z$
→→$x^2+x y-2 x z-2 y z$
For the following points, write the quadrant in which it lies.
$(3,8)$
→$(3,8)$
Write the complement of the following angles:$ 30^\circ$
→Which of the following expression are polynomials? $\frac{(\text{x}-2)(\text{x}-4)}{\text{x}}$
→Let $x$ be a rational number and $y$ be an irrational number. Is $x+y$ necessarily an irrational number? Give a example in support of your answer.
→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.
→Find the value of $\frac{21\sqrt{12}}{10\sqrt{27}}.$
→