Question
$x^2-y^2-2 y-1$
✓
Answer
$x^2-y^2-2 y-1$
$=x^2-\left(y^2+2 y+1\right)$
$=(x)^2-(y+1)^2$
$=(x+y+1)(x-y-1)$
$=x^2-\left(y^2+2 y+1\right)$
$=(x)^2-(y+1)^2$
$=(x+y+1)(x-y-1)$
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
An alloy of tin and copper consists of $15$ parts of tin and $105$ parts of copper. Find the percentage of copper in the alloy$?$
→Find the product.
$\left(a^2\right) \times\left(2 a^{22}\right) \times\left(4 a^{26}\right)$
→$\left(a^2\right) \times\left(2 a^{22}\right) \times\left(4 a^{26}\right)$
Factorise: $3(a-2 b)^2-5(a-2 b)$
→Verify the following: $\frac{2}{-7}+\frac{12}{-35}=\frac{12}{-35}+\frac{2}{-7}$
→Find the sum of additive inverse and multiplicative inverse of $7$.
→Take two identical $30^{\circ}-60^{\circ}-90^{\circ}$ set squares and form a parallelogram as before. Does the following figure obtained help you to confirm the above property?
→Verify the property $x \times y = y \times z$ of rational numbers by using: $\text{x}=\frac{-5}{7}$ and $\text{y}=\frac{14}{15}$
→Verify Euler's formula for the following polyhedrons:
(Finding Sales Tax) The cost of a pair of roller skates at a shop was ₹ 450 . The sales tax charged was $5 \%$. Find the bill amount.
→Find the following products:$ (7x + 2y) × (x + 4y)$
→