Question

Find the products:

$( - 2xy) \: ( - 3x {}^{2} y {}^{2}) \: ( - 1 \6 \: x {}^{2} y {}^{2})$


​

Answer 1

Step-by-step explanation:

Given : (x−2y+3)(x

2

+4y

2

+2xy+6y−3x+9)

The given question can be written as

=(x+(−2y)+30(x

2

+(−2y)

2

+3

2

−(x)(−2y)−(−2y)(3)−(3)(x))

According to the equation,

a

3

+b

3

+c

3

−3abc=(a+b+c)(a

2

+b

2

+c

2

−ab−bc−ca)

we get,

=x

3

+(−2y)

3

+3

3

−3×x×(−2y)×3

(x−2y+3)(x

2

+4y

2

+2xy+6y−3x+9)=x

3

−8y

3

+27+18xy