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factorize
y ( x + z ) + z ( x + y )​


Sagot :

[tex]\huge\sf\red{Answer}[/tex]

=>yx + yz + zx + zy

=> yx +zx +yz + zy

=> yz² + zx + zy

_______________

Hence solved ✓

[tex]\Huge \red{An} \green{s} \pink{we} \purple{r:-}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{=2zy+xy+zx}[/tex]

__________________________________________

[tex]\large\bf{\underline{Here,}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼y(x+z)+z(x+y)}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼(xy+zy)+ (zx + zy) }[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼zy+zy+xy+zx}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼2zy+xy+zx}[/tex]