Download App

Factorisation of Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorisation of Algebraic Expressions4 Marks
Question
Simplify :

p³ – (p + 1)³

✓

Answer

p³ – (p + 1)³
= p³ – (p³ + 3p² + 3p + 1) …[∵ (a + b)³ = a³ + 3a²b + 3ab² + b³]
= p³ – p³ – 3p² – 3p – 1
= – 3p² – 3p – 1

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "4 Mark Question" from Factorisation of Algebraic Expressions→Factorisation of Algebraic Expressions — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

A field is 150m long and 100m wide. A plot (outside the field) 50m long and 30m wide is dug to a depth of 8m and the earth taken out from the plot is spread evenly in the field. By how much the level of field is raised?
→
Monu's father is 26 years younger than Monu's grandfather and 29 years older than Monu. The sum of the ages of all the three is 135 years. What is the age of each one of them?
→
Simplify :

(7a – 6b + 5c)² + (7a + 6b – 5c)²

→
Wasim bought two cricket bats for Rs. 840 and Rs. 360 respectively. He sells the first bat at a gain of 15% and the second one at a loss of 5%. Find his gain or loss percent in the whole transaction.
→
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?
→
Solve the following equation and also check your result in case:
$\frac{7}{2}\text{x}-\frac{5}{2}\text{x}=\frac{20}{3}\text{x}+10$
→
Construct a quadrilateral PQRS in which QR = 7.5cm, PR = PS = 6cm, RS = 5cm and QS = 10cm. Measure the fourth side.
→
Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
→
A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5 cm -thick wood. Find the capacity of the box and its weight if $100 cm^3$ of wood weighs 8 g .
→
Resolve each of the following quadratic trinomial into factor:
$11 x^2-54 x+63$
→