Question

factories : x3 +15x2+175x+125step by step ​

Answer 1

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x³+125=x³+5³=(x+5)(x²−5x+25)

15x²+75x=(x+5)(15x)

x³+15x²+75x+125

Therefore:-

=(x³+125)+(15x²+75)

=(x+5)(x²−5x+25)+(x+5)(15x)

=(x+5)(x²−5x+25+15x)

=(x+5)(x²+10x+25)

=(x+5)³