Respuesta :
Given Algebraic Expressions:-
- [tex]\sf 2x^2yz[/tex]
- [tex]\sf 4xy^2z[/tex]
- [tex]\sf 8xyz^2[/tex]
Solution:-
[tex]\longrightarrow[/tex]Let us write all expression in factorised form .
- [tex]\sf 2x^2yz = \underline{2}\times \underline{x} \times x \times \underline{y} \times \underline{z}[/tex]
- [tex]\sf 4xy^2z= \underline{2} \times 2 \times \underline{x} \times \underline{y} \times y \times \underline{z} [/tex]
- [tex]\sf 8xyz^2= \underline{2} \times 2 \times 2 \times \underline{x}\times \underline{y} \times \underline{z} \times z [/tex]
[tex]\leadsto[/tex] Common factors are 2,x,y,z and their product will give us highest common factor
[tex]\implies \sf 2\times x\times y \times z[/tex]
[tex]\implies \sf 2xyz[/tex]
