Question

Rewrite in simplest terms: 5, left bracket, minus, 4, t, minus, 5, u, right bracket, plus, 8, u, minus, 7, left bracket, u, plus, 2, t, right bracket5(−4t−5u) 8u−7(u 2t)

Answer 1

The given expression 5(−4t−5u) + 8u − 7(u + 2t) simplifies to −34t − 24u by distributing and combining like terms.

Step-by-step explanation:

To rewrite the expression in simplest terms you must distribute and combine like terms. The given expression is 5(−4t−5u) + 8u − 7(u + 2t). Let's distribute 5 into each term inside the first bracket, then −7 into the terms inside the second bracket:

• 5(−4t) = −20t
• 5(−5u) = −25u
• −7(u) = −7u
• −7(2t) = −14t

Now, combine all like terms:

• Combine t terms: −20t + −14t = −34t
• Combine u terms: −25u + 8u + −7u = −24u

The simplified expression is −34t − 24u.