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Expand and simplify (x+4) (x+7)

User MadMonty
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Answer:

To expand and simplify the expression (x+4)(x+7), we can use the distributive property of multiplication over addition.

Expanding the expression, we multiply each term in the first parentheses by each term in the second parentheses:

(x+4)(x+7) = x(x) + x(7) + 4(x) + 4(7)

Now, let's simplify each term:

x(x) = x^2

x(7) = 7x

4(x) = 4x

4(7) = 28

Putting it all together, we have:

(x+4)(x+7) = x^2 + 7x + 4x + 28

Combining like terms, we simplify further:

x^2 + 11x + 28

So, the expression (x+4)(x+7) expands and simplifies to x^2 + 11x + 28.

Explanation:

User Bench Wang
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