Question
Evaluate:
$(995)^2$
$(995)^2$
✓
Answer
$(995)^2=(1000-5)^2$
$=[(1000)+(-5)]^2$
$=(1000)^2+2 \times(1000) \times(-5)+(-5)^2$
$=1000000-10000+25$
$=990025$
$=[(1000)+(-5)]^2$
$=(1000)^2+2 \times(1000) \times(-5)+(-5)^2$
$=1000000-10000+25$
$=990025$
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
Compute the value of x in the following figures.
If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.
Factorize:
$125x^3 - 27y^3 - 225x^2y + 135xy^2$
→$125x^3 - 27y^3 - 225x^2y + 135xy^2$
Retionalise the denominator of each of the following:$\frac{\sqrt2+\sqrt5}{\sqrt3}$
→Factorise:
$6x^2 - 5x - 21$
→$6x^2 - 5x - 21$
Find the volume of the right circular cone with the following dimensions:
Radius 6cm, height 7cm.
Radius 6cm, height 7cm.
Factorise:
$1+b^3+8 c^3-6 b c$
→$1+b^3+8 c^3-6 b c$
Write the following numbers in $\frac{p}{q}$ form. : $30 . \overline{219}$
→In the given figure, point G is the point of concurrence of the medians of ∆PQR. If GT = 2.5, find the lengths of PG and PT.
Prove the Theorem : Opposite sides and opposite angles of a parallelogram are congruent.