Expand:- $(x+3 y-5 z)^{2}$
$(x+3 y-5 z)^{2}$
$=(x)^{2}+(3 y)^{2}+(-5 z)^{2}+2(x)(3 y)$$+2(3 y)(-5 z)+2(-5 z)(x)$
$=x^{2}+9 y^{2}+25 z^{2}+6 x y-30 y z-10 z x$
Expand
$(x+4)(x+9)$
Factorise
$x^{3}-8 y^{3}-27-18 x y$
Write whether the statement are True or False. Justify your answer.
A binomial can have atmost two terms
$4 x^{2}+9 y^{2}+49 z^{2}-12 x y+42 y z-28 z x$
Prove that $(a+b+c)^{3}-a^{3}-b^{3}-c^{3}=3(a+b)(b+c)(c+a).$
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