Expand
$(2 x-y-5)^{2}$
$=(2 x)^{2}+(-y)^{2}+(-5)^{2}+2(2 x)(-y)$$+2(-y)(-5)+2(-5)(2 x)$
$=4 x^{2}+y^{2}+25-4 x y+10 y-20 x$
$(x+2 t)(x-5 t)$
Classify the following polynomials as polynomials in one variable, two variables etc.
$x^{2}-2 x y+y^{2}+1$
Factorise
$12 x^{3}+17 x^{2}+3 x-2$
Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by
$x+3$
If $(5 x-3)^{2}=25 x^{2}+k x+9,$ then find $k$
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