(x + 2)(x + 5) = (x + 2)x + (x + 2)5 = x² + 2x + 5x + 10 = x² + 7x + 10

True. The expansion is correct. Using the distributive property: (x + 2)(x + 5) = x² + 5x + 2x + 10 = x² + 7x + 10. All steps are correctly applied. — The chapter demonstrates expanding (a + b)(c + d) = ac + ad + bc + bd. Here, (x + 2)(x + 5) = x · x + x · 5 + 2 · x + 2 · 5 = x² + 5x + 2x + 10 = x² + 7x + 10.

(x + 2)(x + 5) = (x + 2)x + (x + 2)5 = x² + 2x + 5x + 10 = x² + 7x +…

Question 18 of 27beginner🔍 AnalyzeTrue / False2 marks

$(x + 2)(x + 5) = (x + 2)x + (x + 2)5 = x^2 + 2x + 5x + 10 = x^2 + 7x + 10$

Correct Answer

True. The expansion is correct. Using the distributive property: $(x + 2)(x + 5) = x^2 + 5x + 2x + 10 = x^2 + 7x + 10$ . All steps are correctly applied.

Exercise: Mind the Mistake, Mend the Mistake | Q: 10 | (Page Page 15)

For More Understanding

Explanation

The chapter demonstrates expanding $(a + b)(c + d) = ac + ad + bc + bd$ . Here, $(x + 2)(x + 5) = x \cdot x + x \cdot 5 + 2 \cdot x + 2 \cdot 5 = x^2 + 5x + 2x + 10 = x^2 + 7x + 10$ .

Solution Steps

Apply distributive property: $(x + 2)(x + 5)$
$= x^2 + 5x + 2x + 10$
Combine like terms: $x^2 + 7x + 10$

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