Question

Subtract3a(a–4b+5c)from4a(10c–3b+2a).​

Answer 1

Given:

• First expression: 3a(a - 4b + 5c)
• Second expression: 4a(10c - 3b + 2a)

What To Find:

We have to find the difference of these two expressions.

Solution:

(3a(a - 4b + 5c)) - (4a(10c - 3b + 2a))

Solve the brackets,

⇒ (3a² - 12ab + 15ac) - (40ac - 12ab + 8a²)

Remove the brackets,

⇒ 3a² - 12ab + 15ac - 40ac + 12ab - 8a²

Rearrange the like terms,

⇒ 3a² - 8a² - 12ab + 12ab + 15ac - 40ac

Solve the first term,

⇒ -5a² - 12ab + 12ab + 15ac - 40ac

Solve the second term,

⇒ -5a² + 0 + 15ac - 40ac

Solve the third term,

⇒ -5a² + 0 - 25ac

Also written as,

⇒ -5a² - 25ac

∴ Hence, the difference of the two expressions is -5a² - 25ac.

Answer 2

Answer:

-5asquare - 25ac is the right answer

Step-by-step explanation:

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