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Use the method above to find the product of: 2.2.1 (x+4)(x+10) 2.2.2 (x+9)(x-2)

June 17, 2026Mathematics

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here are the solutions for 2.2.1 and 2.2.2 using the method provided:

2.2.1 $(x+4)(x+10)$

Write the second bracket twice.
$(x+10) \quad (x+10)$
Distribute the first bracket over the expression.
$x(x+10) + 4(x+10)$
Remove the brackets.
$x^2 + 10x + 4x + 40$
Simplify.
$x^2 + 14x + 40$
The product is $\boxed{x^2 + 14x + 40}$ .

2.2.2 $(x+9)(x-2)$
Write the second bracket twice.
$(x-2) \quad (x-2)$
Distribute the first bracket over the expression.
$x(x-2) + 9(x-2)$
Remove the brackets.
$x^2 - 2x + 9x - 18$
Simplify.
$x^2 + 7x - 18$
The product is $\boxed{x^2 + 7x - 18}$ .

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