Find the following products:(i) -8/27xyz (3/2xyz2 – 9/4xy2z3)(ii) -4

1.	Find the following products:(i) -8/27xyz (3/2xyz2 – 9/4xy2z3)(ii) -4/27xyz (9/2x2yz – 3/4xyz2)(iii) 1.5x (10x2y – 100xy2)
Answer» (i) -8/27xyz (3/2xyz² – 9/4xy²z³) = -8/27xyz (3/2xyz² – 9/4xy²z³) = (-8/27xyz × 3/2xyz²) – (-8/27xyz × 9/4xy²z³) = -4/9x²y²z³ + 2/3x²y³z⁴ (ii) -4/27xyz (9/2x²yz – 3/4xyz²) = -4/27xyz (9/2x²yz – 3/4xyz²) = (-4/27xyz × 9/2x²yz) – (-4/27xyz × 3/4xyz²) = -2/3x³y²z² + 1/9x²y²z³ (iii) 1.5x (10x2y – 100xy2) = 1.5x (10x²y – 100xy²) = (1.5x 10x²y) – (1.5x × 100xy²) = 15x³y – 150x²y²

Find the following products:(i) -8/27xyz (3/2xyz2 – 9/4xy2z3)(ii) -4/27xyz (9/2x2yz – 3/4xyz2)(iii) 1.5x (10x2y – 100xy2)

Answer»

(i) -8/27xyz (3/2xyz² – 9/4xy²z³)

= -8/27xyz (3/2xyz² – 9/4xy²z³)

= (-8/27xyz × 3/2xyz²) – (-8/27xyz × 9/4xy²z³)

= -4/9x²y²z³ + 2/3x²y³z⁴

(ii) -4/27xyz (9/2x²yz – 3/4xyz²)

= -4/27xyz (9/2x²yz – 3/4xyz²)

= (-4/27xyz × 9/2x²yz) – (-4/27xyz × 3/4xyz²)

= -2/3x³y²z² + 1/9x²y²z³

(iii) 1.5x (10x2y – 100xy2)

= 1.5x (10x²y – 100xy²)

= (1.5x 10x²y) – (1.5x × 100xy²)

= 15x³y – 150x²y²

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