Question

125x^3+27z^3-8y^3+90xyz​

Answer 1

Answer:

125x

3

+27y

3

+8z

3

−90xyz

(5x)

3

+(3y)

3

+(2z)

3

−5x.3y.2z×3

a

3

+b

3

+c

3

−3abc=(a+b+c)(a

2

+b

2

+c

2

−ab−bc−ca)

(5x+3y+2z)(25x

2

+9y

2

+4z

2

−15xy−6yz−10xz)

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Answer 2

Answer:

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Step-by-step explanation:

125x^3+27y^3+8z^3-90xyz

= (5x)^3 + (3y)^3 + (2z)^3 - 3 × (5x) × (3y) × (2z)

= (5x + 3y + 2z) {(5x)^2 + (3y)^2 + (2z)^2 - (5x)(3y) - (3y)(2z) - (2z)(5x)}

= (5x + 3y + 2z) ( 25x^2 + 9y^2 + 4z^2 - 15xy - 6yz - 10zx)