Question
Factorise :$64m^3 - 343n^3$
✓
Answer
$64m^3 - 343n^3$
$= (4m)^3 - (7n)^3 $
$= (4m - 7n){(4m)^2 + (4m)(7n) + (7n)^2}$
$= (4m - 7n)(16m^2 + 28mn + 49n^2)$
$= (4m)^3 - (7n)^3 $
$= (4m - 7n){(4m)^2 + (4m)(7n) + (7n)^2}$
$= (4m - 7n)(16m^2 + 28mn + 49n^2)$
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
Represent the following rational numbers on the number line:
$\frac{5}{7}$
→$\frac{5}{7}$
If $\sqrt{10}=3.162,$ find the value of $\frac{1}{\sqrt{10}}.$
→See Fig. and write the point identified by the coordinates (–3, –5)
Evaluate $\Big(\frac{81}{49}\Big)^{\frac{-3}{2}}.$
→Express the following decimals in the form $\frac{\text{p}}{\text{q}}:$
0.39
→0.39
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid ₹ 27 for a book kept for seven days. If fixed charges are ₹ x and per day charges are ₹ y. Write the linear equation representing the abvoe information.
Simplify the following : $3(a^4 b^3)^{10} \times 5(a^2 b^2)^3$
→Simplify:
$6^\frac{1}{2}\times7^\frac{1}{2}$
→$6^\frac{1}{2}\times7^\frac{1}{2}$
Diagonals of a rectangle are equal and perpendicular. Is this statement true? Give reason for your answer.
Evaluate using suitable identity: ${\left( {99} \right)^3}$
→