Question

factorise 3√2×2-5x+√2​

Answer 1

Question should be:

• Factorise 3√2x²-5x+√2

ANSWER:

• Required Factorisation = (√2x-1)(3x-√2)

GIVEN:

• P(x) = 3√3x²-5x+√2

TO FIND:

• Factorisation of the above expression.

SOLUTION:

= 3√2x²-5x+√2

= 3√2x²-3x-2x+√2

= (3√2x²-3x)+(-2x+√2)

= 3x(√2x-1)-√2(√2x-1)

= (√2x-1)(3x-√2)

Required Factorisation = (√2x-1)(3x-√2)

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