Question
Factor \( 35 r+56 \). Assessment Analytics Write your answer as a product with a whole number greater than 1 . (ロ) Submit
Ask by Paul Bond. in Mexico
Mar 02,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
35r + 56 = 7(5r + 8)
Solution
To factor 35r + 56, first notice that both terms have a common factor of 7.
Dividing each term by 7:
• 35r ÷ 7 = 5r
• 56 ÷ 7 = 8
Thus, 35r + 56 can be written as:
7(5r + 8)
This is the factorization in the form of a product with a whole number greater than 1.
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Simplify this solution Bonus Knowledge
To factor \( 35r + 56 \), first, identify the greatest common factor (GCF) of the coefficients, which is 7. Now, you can factor it out: \[ 35r + 56 = 7(5r + 8) \] So, the expression factored as a product with a whole number greater than 1 is \( 7(5r + 8) \). If you want to visualize it, think of it like pulling the common ingredients out of a recipe. Instead of mixing 35 parts of \( r \) and 56 parts of something else separately, you can combine them under the common flavor of 7 to create a more streamlined mixture!
