Which expression shows a way to factor 14 + 35? Choices: (A)7(3 + 5) (B)7(3 + 6) (C)7(2 + 5) (D)7(2 + 6)

Identify GCF of 14 and 35: Step 1: Identify the Greatest Common Factor (GCF) of 14 and 35. Calculation: Factors of 14 are 1, 2, 7, 14. Factors of 35 are 1, 5, 7, 35. The GCF is 7.Express using GCF: Step 2: Express 14 + 35 using the GCF. Calculation: 14 + 35 = 7(2) + 7(5) = 7(2 + 5).Match with choices: Step 3: Match the expression from the choices given. Calculation: The expression 7(2 + 5) matches choice (C).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression shows a way to factor $14 + 35$ ? $\newline$ Choices: $\newline$ (A) $7(3 + 5)$ $\newline$ (B) $7(3 + 6)$ $\newline$ (C) $7(2 + 5)$ $\newline$ (D) $7(2 + 6)$

View step-by-step help

Home

Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Which expression shows a way to factor

14 + 35

\newline

Choices:

\newline

(A)

7(3 + 5)

\newline

(B)

7(3 + 6)

\newline

(C)

7(2 + 5)

\newline

(D)

7(2 + 6)

Identify GCF of $14$ and $35$ : Step $1$ : Identify the Greatest Common Factor (GCF) of $14$ and $35$ . Calculation: Factors of $14$ are $1$ , $2$ , $7$ , $14$ . Factors of $35$ are $1$ , $5$ , $7$ , $35$ . The GCF is $7$ .
Express using GCF: Step $2$ : Express $14 + 35$ using the GCF. $\newline$ Calculation: $14 + 35 = 7(2) + 7(5) = 7(2 + 5)$ .
Match with choices: Step $3$ : Match the expression from the choices given. $\newline$ Calculation: The expression $7(2 + 5)$ matches choice (C).