Expand and simplify each of the following expressions.
(a) 4x(3y - 5z) - 5x(2y - 3z)
(b) x(2x - y) + 3x(y - 3x)
plz help
Answers
Answered by
0
Answer:
(a) 2xy-5xz, (b) 2xy -7x²
Step-by-step explanation:
(a) 4x(3y - 5z) - 5x(2y - 3z) = 12xy-20xz-10xy+15xz= 2xy-5xz
(b) x(2x - y) + 3x(y - 3x) = 2x²-xy+3xy-9x²= 2xy -7x²
Answered by
1
Answer:
(a) 4x(3y - 5z) - 5x(2y - 3z)
→ 4x(3y) + 4x(- 5z) - 5x(2y) - 5x(- 3z)
→ 12xy - 20xz - 10xy + 15xz
→ 12xy - 10xy - 20xz + 15xz
→ (12 - 10)xy + (- 20 + 15)xz
→ (2)xy + (- 5)xz
→ 2xy - 5xz
(b) x(2x - y) + 3x(y - 3x)
→ x(2x) + x(- y) + 3x(y) + 3x(- 3x)
→ 2x² - xy + 3xy - 9x²
→ 2x² - 9x² - xy + 3xy
→ (2 - 9)x² + (- 1 + 3)xy
→ (- 7)x² + (2)xy
→ - 7x² + 2xy
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