Find the product s (s^2-s t ) and evaluate it fore s = 2 and t = … - Vidyadip

Question

Find the product $s\left(s^2-s t\right)$ and evaluate it fore $s = 2$ and $t = 3$.

✓

Answer

$s\left(s^2-s t\right)$
$=s \times s^2-s \times s t$
$=s^{(1+2)}-s^{(1+1)} \times t$
$=s^3-s^2 t$
When $s=2$ and $t=3$, we get,
$\text { L.H.S. }=s\left(s^2-s t\right)$
$=2\left(2^2-2 \times 3\right)$
$=2 \times(4-6)$
$=-4$
$\text { R.H.S. }=s^3-s^2 t$
$=2^3-2^2 \times 3$
$=8-12$
$=-4$
$\text { L.H.S. }=\text { R.H.S. }$
$\therefore s\left(s^2-s t\right)=s^3-s^2 t$

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 "3 Marks Question" from Algebraic Expressions→Algebraic Expressions — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

What should be added to $\frac{-7}{8}$ so as to get $\frac{5}{9}?$

Find the consecutive positive odd integers whose sum is $76.$

Simplify the following and express the result as a rational number in standard form:
$\frac{-16}{21} \times \frac{14}{5}$

A man says, "I am thinking of a number. When I divide it by $3$ and then add $5$, my answer is twice the number I thought of". Find the number.

Nalini borrowed ₹ 550 from her friend at $8 \%$ per annum. She returned the amount after 6 months. How much did she pay?

Rohit obtained $45$ marks out of $80$. What percent did he get?

Using the token interpretation, find the values of:
(-7) × 3

Ravish reads $\frac{1}{3}$ part of a book in 1 hour. How much part of the book will he read in $2 \frac{1}{5}$ hours?

Evaluate: $\frac{5^{4}\times7^{4}\times2^{7}}{8\times49\times5^{3}}$

What cross-sections do you get when you give a
(i) vertical cut? (ii) horizontal cut?
to the following solids?
(a) A brick $\quad$ (b) A round apple
(c) A dice $~~\quad$ (d) A circular pipe
(e) An ice-cream cone