ASK - ANSWER - COMMENT - VOTE

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

0 like 0 dislike
48 views
Find the factors of $7x+14y+bx+2by$
| 48 views

## 1 Answer

1 like 0 dislike
Best answer

Find the factors of $7x+14y+bx+2by$

Step 1 - There are no factors common to all terms

Step 2 - Group terms with common factors together}$x$ is a common factor of the first and third terms and $2y$ is a common factor of the second and fourth terms $(7:b~=~14:2b)$.

Step 3 - Rearrange the equation with grouped terms together

\begin{align*} 7x+14y+bx+2by &= (7x+bx)+(14y+2by) \\ &= x(7+b)+2y(7+b) \end{align*}

Step 4 - Take out the common factor $(7+b)$

$\begin{equation*} x(7+b)+2y(7+b) = (7+b)(x+2y) \end{equation*}$

Step 5 - Write the final answer
The factors of $7x+14y+bx+2by$ are $(7+b)$ and $(x+2y)$.

by Diamond (43,672 points)
selected by

0 like 0 dislike
1 answer
1 like 0 dislike
2 answers
1 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer