Question

64x³ +1
FACTORISE IT​

Answer 1

Step-by-step explanation:

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Answer 2

ANSWER:

• Factorisation of the above expression is (4x+1)(16x²+1-4x)

GIVEN:

• P(x) = 64x³+1

TO FIND:

• P(x) = 64x³+1

Formula used:

• a³+b³ = (a+b)(a²+b²-ab)

SOLUTION:

= 64x³+1

= (4x)³ + (1)³

= (4x+1)[(4x)²+(1)²-4x(1)]

= (4x+1)(16x²+1-4x)

Factorisation of the above expression is (4x+1)(16x²+1-4x)

NOTE:

Some important formulas:

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

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