x cube + x square + X + 1
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Step-by-step explanation:
First, group the two terms on the left and the two terms on the right as:
#(x^3 + x^2) + (x + 1)#
Now, factor out an #x^2# from the term on the left to give:
#((x^2 xx x) + (x^2 xx 1)) + (x + 1)#
#x^2(x + 1) + (x + 1)#
#(x + 1)# can also be written as #1(x + 1)# giving:
#x^2(x + 1) + 1(x + 1)#
We can now factor out an #(x + 1)# from each term giving:
#(x + 1)(x^2 + 1)#
Take common by grouping the terms
x^2(x+1)+1(x+1)
(x+1)(x^2+1)
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