A) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)

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Step-by-step explanation:

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A). 3x²(5x²-2x-4) = 15x4−6x3−12x2

Step-by-step explanation:

explanation for A.

(3x2)(5x2+−2x+−4)

(3x2)(5x2)+(3x2)(−2x)+(3x2)(−4)

= 15x4−6x3−12x2

B). xy²(x²y+x³y²+3x²y³) = x4y4+3x3y5+x3y3

Explanation for B.

xy2)(x2y+x3y2+3x2y3)

(xy2)(x2y)+(xy2)(x3y2)+(xy2)(3x2y3)

x3y3+x4y4+3x3y5

C). xyz(x²y+3yz²+4xy²z) = =4x2y3z2+x3y2z+3xy2z3

Explanation for C.

(xyz)(x2y+3yz2+4xy2z)

(xyz)(x2y)+(xyz)(3yz2)+(xyz)(4xy2z)

x3y2z+3xy2z3+4x2y3z2