What is the standard form of a polynomial #(5h + 4)(3h + 6) #?

1 Answer
Shiva Prakash M V
Mar 6, 2018

#(5h+4)(3h+6)=15h^2+42h+24#

Explanation:

#(5h+4)(3h+6)=5h(3h+6)+4(3h+6)#
#=5hxx3h+5hxx6+4xx3h+4xx6#
#=5xx3xxhxxh+5xx6xxh+4xx3xxh+4xx6#
#5xx3=15#
#hxxh=h^2#
#5xx3xxhxxh=15h^2#
#5xx6=30#
#5xx6xxh=30h#
#4xx3=12#
#4xx3xxh=12h#
#4xx6=24#
#5xx3xxhxxh+5xx6xxh+4xx3xxh+4xx6#
#=15h^2+30h+12h+24#
#30h+12h=42h#
#15h^2+30h+12h+24=15h^2+42h+24#
Thus,
#(5h+4)(3h+6)=15h^2+42h+24#

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