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6. (x + 6)(x + 5)

Question

  1. (x + 6)(x + 5)

Explanation:

Step1: Apply FOIL method

Multiply First terms: $x \times x = x^2$
Multiply Outer terms: $x \times 5 = 5x$
Multiply Inner terms: $6 \times x = 6x$
Multiply Last terms: $6 \times 5 = 30$
Combine these: $x^2 + 5x + 6x + 30$

Step2: Combine like terms

Add the linear terms: $5x + 6x = 11x$

Answer:

$x^2 + 11x + 30$