Download App

Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Show that $ :35^3+ 27^3$ is divisible by $62$
✓

Answer

$(35^3+ 27^3)$
[Using identity $(a^3+ b^3)=(a + b)(a^2-ab+ b^2)]$
$= ( 35 + 27 )( 35^2+ 35\times 27 + 27^2)$
$= 62 \times ( 35^2+ 35 \times 27 + 27^2)$
Therefore, the number is divisible by $62.$

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 "[2 Mark Question Answer]" from Factorisation→Factorisation — all question types→MATHEMATICS STD 9 question papers→ICSE Board STD 9 question papers→ICSE Board question paper generator→

Similar questions

If $\sin x = \cos x$ and $x$ is acute, state the value of $x$
→
Solve for $x :\sin (x + 10^\circ ) = \frac{1}{2}$
→
If $\left(x^2+\frac{1}{25 x^2}\right)=8 \frac{3}{5}$, find the values of : $\left(x+\frac{1}{5 x}\right)$
→
Show that $x $ is rational, if $x^2 = 0.0004.$
→
A square is inscribed in a circle of radius $7\ cm.$ Find the area of the square.
→
The diameter of a wheel is 1.26 m. How far will it travel in 500 revolutions ?
→
Using the standard formulae, expand:
$(3 a-7 b)^2$
→
Prove that $: \sec^245^\circ - \tan^245^\circ = 1$
→
If $\log 27=1.4313$, find the value of :
$\log 9$
→
By actual division, show that:
$\frac{11}{9}=1 . \overline{2}$
→