Q. Rewrite in simplest terms: −7(−4t−10u)+9u−9(−u−6t)Answer:
Distribute −7: First, distribute the −7 into the terms inside the first set of parentheses.−7×(−4t)=28t−7×(−10u)=70uSo the expression becomes 28t+70u+9u−9(−u−6t).
Distribute −9: Next, distribute the −9 into the terms inside the second set of parentheses.−9×(−u)=9u−9×(−6t)=54tNow the expression is 28t+70u+9u+9u+54t.
Combine like terms: Combine like terms.For the t terms: 28t+54t=82tFor the u terms: 70u+9u+9u=88uThe expression simplifies to 82t+88u.
Check for common factors: Check for any possible common factors that can be factored out, but in this case, there are none, so the expression is already in its simplest form.
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