Question

Factorize the following:
(a) 6x’y + 2xy​

Answer 1

Answer:

$\Large\boxed{\mathsf{2y(x+3)}}$

Step-by-step explanation:

$\Large\boxed{\mathsf{LESSON: FIND\quad THE \quad FACTORS }}$

$\Large\boxed{\mathsf{SUBJECT: MATH}}$

6x'y+2xy

DISTRIBUTIVE PROPERTY:

A(B+C)=AB+AC

A(B-C)=AB-AC

$\displaystyle \mathsf{x'=1}$

Rewrite the problem down.

$\displaystyle \mathsf{6\times1\times y+2xy}}$

Solve.

$\displaystyle \mathsf{6*1*y+2xy=\boxed{\mathsf{6y+2xy}}}}}}}$

$\displaystyle \mathsf{3*2=6}}\\\displaystyle \mathsf{3*2y+2yx}}}$

Solve.

Common term of 2y.

$\displaystyle \mathsf{\boxed{\mathsf{\rightarrow 2y(3+x)}}}$

$\Rightarrow \Large\boxed{\mathsf{2y(3+x)}}$

Therefore, the final answer is 2y(3+x).