Question

Factorize 3x square -2 root 6x + 2

Answer 1

Answer:

Step-by-step explanation:

-9x×~6x+2

Answer 2

ANSWER:

GIVEN:

• P(x) = 3x²-2√6x +2

TO FIND:

• Factorise the above expression.

SOLUTION:

= 3x²-2√6x +2

= 3x²-√6x-√6x+2

= (3x²-√6x)+(-√6x+2)

= √3x(√3x-√2)-√2(√3x-√2)

= (√3x-√2)(√3x-√2)

Or

= 3x²-2√6x +2

= (√3x)²-2(√3)(√2)+(√2)²

= (√3x-2)²

= (√3x-2)(√3x-2)

Identity used:

=> (a²-2ab+b²) = (a-b)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