Question
Add the following expression:
$\frac{3}{4}\text{x}^2, 5\text{x}^2, -3\text{x}^2, -\frac{1}{4}\text{x}^2$
$\frac{3}{4}\text{x}^2, 5\text{x}^2, -3\text{x}^2, -\frac{1}{4}\text{x}^2$
✓
Answer
$\frac{3}{4}\text{x}^2+5\text{x}^2+(-3\text{x}^2)+\Big(-\frac{1}{4}\text{x}^2\Big)$
$=\frac{3}{4}\text{x}^2+5\text{x}^2-3\text{x}^2-\frac{1}{5}\text{x}^2$
$=\frac{3\text{x}^2+20\text{x}^2-12\text{x}^2-\text{x}^2}{4}$ (LCM = 4)
$=\frac{23\text{x}^2-13\text{x}^2}{4}=\frac{10\text{x}^2}{4}$
$=\frac{5}{2}\text{x}^2$
$=\frac{3}{4}\text{x}^2+5\text{x}^2-3\text{x}^2-\frac{1}{5}\text{x}^2$
$=\frac{3\text{x}^2+20\text{x}^2-12\text{x}^2-\text{x}^2}{4}$ (LCM = 4)
$=\frac{23\text{x}^2-13\text{x}^2}{4}=\frac{10\text{x}^2}{4}$
$=\frac{5}{2}\text{x}^2$
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
Find the product:
54.5 × 1.76
54.5 × 1.76
Divide:
19.2 ÷ 80
19.2 ÷ 80
A horse is tied to a pole with 28m long string. Find the area where the horse can graze. $\Big(\text{Take }\pi=\frac{22}{7}\Big).$
→Divide:
0.076 by 0.19
0.076 by 0.19
Which of the following numbers are equal?
$\frac{-16}{20}\text{ and }\frac{20}{-25}$
→$\frac{-16}{20}\text{ and }\frac{20}{-25}$
Using laws of exponents, simplify and write the answer in exponential form:
$3^7 \times 2^7$
→$3^7 \times 2^7$
Find the height of a triangle region having an area of $224 m^2$ and base 28 m .
→Name the four pairs of supplementary angles shown in Figure.
Express the following ratios in the simplest form:
2.5 : 6.5 : 8
2.5 : 6.5 : 8
Find the simple interest, when:
Principal = Rs. 4500, Rate of Interest = 4% per annum, and Time = 6 month.
Principal = Rs. 4500, Rate of Interest = 4% per annum, and Time = 6 month.