Question

Select the correct answer.

What is the product of (x - 3) and (x + 7)?

`{x}^(2) + 10 - 21`
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Answer 1

`\boxed{ \boxed{ \bold{ {x}^(2) + 4x - 21}}}`

Explanation:

`\sf{(x - 3)(x + 7)}`

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒
`\sf{x(x + 7) - 3(x + 7)}`

⇒
`\sf{ {x}^(2) + 7x - 3x - 21}`

Collect like terms

⇒
`\sf{ {x}^(2) + 4x - 21}`

Hope I helped!

Best regards!!

Answer 2

`\boxed{\boxed{\boxed{\red{{x}^(2) + 4x - 21}}}}`

Explanation:

`(x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\ {x}^(2) + 7x - 3x - 21 \\ {x}^(2) + 4x - 21`