Question 9 of 27beginner🔍 AnalyzeTrue / False2 marks

−3p(−5p+2q)=−3p+5p−2q=p−2q-3p(-5p + 2q) = -3p + 5p - 2q = p - 2q

Correct Answer

False. The correct expansion is −3p(−5p+2q)=15p2−6pq-3p(-5p + 2q) = 15p^2 - 6pq. The mistake is that −3p-3p was not distributed correctly to each term inside the bracket, and the terms were incorrectly combined.

Exercise: Mind the Mistake, Mend the Mistake | Q: 1 | (Page Page 15)
For More Understanding

Explanation

The chapter emphasizes correct application of the distributive property. Here, −3p-3p must multiply each term inside the bracket: −3p×(−5p)=15p2-3p \times (-5p) = 15p^2 and −3p×2q=−6pq-3p \times 2q = -6pq. The original solution incorrectly added −3p-3p to the bracket contents instead of multiplying.

Solution Steps

  1. Apply distributive property: −3p(−5p+2q)-3p(-5p + 2q)

  2. =(−3p)(−5p)+(−3p)(2q)= (-3p)(-5p) + (-3p)(2q)

  3. =15p2−6pq= 15p^2 - 6pq

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