Question

x cube + 3x square + 3x + 1 factorize​

Answer 1

ANSWER:.

• (x+1)(x+1)(x+1)

GIVEN:

• P(x) = x³+3x²+3x+1

TO FIND:

• Factories the above expression

SOLUTION:

= x³+3x²+3x+1

= x³+1+3x²+3x

= (x)³+(1)³+3*(x)²*(1)+3x(1)²

= (x+1)³

= (x+1)(x+1)(x+1)

Factorisation of x³+3x²+3x+1 is (x+1)(x+1)(x+1)

NOTE:

some important formulas:

• (a+b)² = a²+b²+2ab
• (a-b)² = a²+b²-2ab
• (a+b)³ = a³+b³+3ab(a+b)
• (a-b)³ = a³-b³-3ab(a-b)
• (a+b)(a-b) = a²-b²
• a³-b³ = (a-b)(a²+b²+ab)
• a³+b³ = (a+b)(a²+b²-ab)
• (a+b)² = (a-b)² +4ab
• (a-b)² = (a+b)²-4ab