Question 1 - Mind the Mistake, Mend the Mistake - Chapter 6 Class 8 - We Distribute yet things Multiply (Ganita Prakash)

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[Maths] We have expanded and simplified some algebraic expressions - Mind the Mistake, Mend the Mistake

part 2 - Question 1 - Mind the Mistake, Mend the Mistake - Chapter 6 Class 8 - We Distribute yet things Multiply (Ganita Prakash) - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)

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Question 1 We have expanded and simplified some algebraic expressions below to their simplest forms. (i) Check each of the simplifications and see if there is a mistake. (ii) If there is a mistake, try to explain what could have gone wrong. (iii) Then write the correct expression.Is there a mistake? Yes What went wrong? The student treated the parentheses as addition or subtraction. In algebra, a number (or term) right next to a bracket means multiplication. We need to distribute the –3p to everything inside. Correct solution −3𝑝(−5𝑝+2𝑞) =(−𝟑𝒑)× (−𝟓𝒑)+(−𝟑𝒑) × (𝟐𝒒) =3 × 5 × 𝑝 × 𝑝−3 × 2 × 𝑝 × 𝑞 =𝟏𝟓𝒑^𝟐−𝟐𝒒

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