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Use suitable identities to find the following products
(x+4)(x+10)?
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Use suitable identities to find the following products (x+4)(x+10)?
Here is the detailed explanation of how to find the product of (x+4)(x+10) using suitable identities:
- **Using the distributive property:**
When we multiply two binomials, we can use the distributive property to simplify the process. We multiply each term in the first binomial by each term in the second binomial and then combine like terms.
- **Expanding the expression:**
(x+4)(x+10) = x(x) + x(10) + 4(x) + 4(10)
- **Apply the distributive property:**
= x^2 + 10x + 4x + 40
- **Combine like terms:**
= x^2 + 14x + 40
Therefore, the product of (x+4)(x+10) is x^2 + 14x + 40.
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Use suitable identities to find the following products (x+4)(x+10)?
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