Question

Factories X^2+x-2 by splitting middle term

Answer 1

ANSWER:

• Factorisation of the above expression is (x+2)(x-1)

GIVEN:

• x²+x-2

TO FIND:

• Factorise the above expression.

SOLUTION:

= x²+x-2

= x²+2x-x-2

= (x²+2x)+(-x-2)

= x(x+2)-1(x+2)

= (x+2)(x-1)

Factorisation of the above expression is (x+2)(x-1)

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