Question 13 of 27beginner🔍 AnalyzeTrue / False2 marks

y+2(y+2)=(y+2)2=y2+4y+4y + 2(y + 2) = (y + 2)^2 = y^2 + 4y + 4

Correct Answer

False. The expression y+2(y+2)y + 2(y + 2) is not equal to (y+2)2(y + 2)^2. The correct expansion is y+2(y+2)=y+2y+4=3y+4y + 2(y + 2) = y + 2y + 4 = 3y + 4. The mistake is treating addition as multiplication.

Exercise: Mind the Mistake, Mend the Mistake | Q: 3 | (Chapter: Page 15)
For More Understanding

Explanation

The chapter distinguishes between y+2(y+2)y + 2(y + 2) and (y+2)2(y + 2)^2. The first expression has addition before multiplication, while the second squares the entire expression. They are fundamentally different operations.

Solution Steps

  1. Expand: y+2(y+2)y + 2(y + 2)

  2. =y+2y+4= y + 2y + 4

  3. =3y+4= 3y + 4

  4. This is NOT equal to (y+2)2=y2+4y+4(y + 2)^2 = y^2 + 4y + 4

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