Question

we need to factorìze by grouping method the question is x square +y square+x+y+2xy​

Answer 1

Yes you should factorise by grouping method

Thnk u

Answer 2

Question should be:

• Factorise x²+y²+x+y+2xy by grouping them.

ANSWER:

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

GIVEN:

• P(x) = x²+y²+x+y+2xy

TO FIND:

• Factorise the above expression.

SOLUTION:

= x²+y²+x+y+2xy

= (x²+y²+2xy) +(x+y)

= [(x)²+(y)²+2xy] +1(x+y)

= (x+y)²+(x+y)

= (x+y)[(x+y)+1]

= (x+y)(x+y+1)

Factorisation of the above expression is (x+y)(x+y+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