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Simplify −5(1−5k)−4(2k+5).-5(1-5k)-4(2k+5).

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Full solution

Q. Simplify −5(1−5k)−4(2k+5).-5(1-5k)-4(2k+5).
  1. Distribute −5-5: Distribute −5-5 to each term inside the first parentheses (1−5k)(1-5k).−5(1−5k)=−5×1+(−5)×(−5k)-5(1-5k) = -5 \times 1 + (-5) \times (-5k)=−5+25k= -5 + 25k
  2. Distribute −4-4: Distribute −4-4 to each term inside the second parentheses (2k+5)(2k+5).−4(2k+5)=−4×2k+(−4)×5=−8k−20-4(2k+5) = -4 \times 2k + (-4) \times 5 = -8k - 20
  3. Combine results: Combine the results from Step 11 and Step 22.\newline−5+25k−8k−20-5 + 25k - 8k - 20
  4. Combine like terms: Combine like terms 25k25k and −8k-8k and constants −5-5 and −20-20.25k−8k=17k25k - 8k = 17k−5−20=−25-5 - 20 = -25So, the expression simplifies to:17k−2517k - 25

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