ab² + a²b + a²b² = ab(a + b + ab)

Question 20 of 27intermediate🔍 AnalyzeTrue / False2 marks

$ab^2 + a^2b + a^2b^2 = ab(a + b + ab)$

Correct Answer

True. The factorization is correct. Factoring out $ab$ from each term: $ab^2 = ab \cdot b$ , $a^2b = ab \cdot a$ , and $a^2b^2 = ab \cdot ab$ . So $ab^2 + a^2b + a^2b^2 = ab(b + a + ab) = ab(a + b + ab)$ .

Exercise: Mind the Mistake, Mend the Mistake | Q: 12 | (Page Page 15)

For More Understanding

Explanation

The chapter discusses factoring by identifying common factors. Each term $ab^2$ , $a^2b$ , and $a^2b^2$ contains $ab$ as a factor. Factoring out $ab$ gives $ab(b + a + ab) = ab(a + b + ab)$ .

Solution Steps

Identify common factor in each term: $ab$
$ab^2 = ab \cdot b$
$a^2b = ab \cdot a$
$a^2b^2 = ab \cdot ab$
Factor: $ab(b + a + ab) = ab(a + b + ab)$

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