Factor 56x+63y.
Write your answer as a product with a whole number greater than 1.

To factor the expression \( 56x + 63y \), we can start by finding the greatest common factor (GCF) of 56 and 63.

- The GCF of 56 and 63 is 7.

Now, factor out the 7 from the expression:

\[
56x + 63y = 7(8x + 9y)
\]

Thus, the factored form of \( 56x + 63y \) is:

\[
7(8x + 9y)
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you find the GCF of two numbers?
2. What are the prime factorizations of 56 and 63?
3. Can all binomials be factored like this?
4. What happens when there is no GCF between two terms?
5. How would you factor an expression like \( 56x + 63y + 14z \)?

**Tip:** Always look for the GCF before trying other factoring methods, as it simplifies the problem right away.

Factor 56x + 63y. Write your answer as a product with a whole number greater than 1.

Discover how to factor the algebraic expression 56x + 63y by finding the greatest common factor (GCF). This step-by-step solution simplifies the expression into 7(8x + 9y), introducing key algebra concepts suitable for students in Grades 6-8.

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