Question

Find the product of the following.

i) –5a2bc, 6ab, 8abc2
ii) –3x2y and (5y – xy)
iii) x2y2z2 and (xy – yz + zx)
iv) (p+6)and (q–7)
v) (2x+7)and(x2 –5x+6) vii) (x + y + 5) and (2x – 2y – 3)
PLEASE I NEED THE ANSWER NOW

Answer 1

i) -240
`a^(4)b^(3) c^(3)`

ii) -15x²y² + 3x³y²

iii)x³y³z³ - x²y³z³ + x³y²z³

iv) pq -7p+6q-42

v)9x²-33x +42

vii) 2x² - 2y² + 7x -13y - 15

Explanation:

To find product here means to multiply the algebraic expressions together

i) (–5a²bc)×(6ab)×(8abc² )

multiply like terms together

= -240
`a^(4)b^(3) c^(3)`

ii) (–3x²y) ×(5y – xy)

(–3x²y)×(5y) – (–3x²y) ×(xy)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= -15x²y² + 3x³y²

iii) (x²y²z²) ×(xy – yz + zx)

(x²y²z²)×(xy) – (yz)× (x²y²z²) + (zx) ×(x²y²z²)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= x³y³z³ - x²y³z³ + x³y²z³

iv) (p+6)and (q–7)

p(q–7) +6(q–7)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= pq -7p+6q-42

v) (2x+7)and(x² –5x+6)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= 2x² -10x+12x+7x²-35x+42

collect like terms

= 9x²-33x +42

vii) (x + y + 5) and (2x – 2y – 3)

multiply like terms together

multiplication of same sign gives +, while that of opposite sign gives -

= 2x²-2xy-3x+2xy-2y²-3y+10x-10y-15

collect like terms

= 2x² - 2y² + 7x -13y - 15