Question

factories 4 (a+b)-6 (a+b)2​

Answer 1

Question should be:

• Factorise 4(a+b)- 6(a+b)²

ANSWER:

• Factorisation of the above expression is 2(a+b)(2-3a-3b)

GIVEN:

• 4(a+b)- 6(a+b)²

TO FIND:

• Factorise the above expression.

SOLUTION:

= 4(a+b) -6(a+b)²

= 2(a+b)[2-3(a+b)]

= 2(a+b)(2-3a-3b)

Factorisation of the above expression is 2(a+b)(2-3a-3b)

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