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First multiply the first variable in each binomial.

Multiply outside variable.

Multiply the inside variables.

Multiply last variable in each binomial.

The parentheses are used for the multiplication sign. This method is used to multiply two.

(a + b) (a²- ab + b²)

Apply the foil method to multiply the polynomials.

(a + b) (a²- ab + b²) = a

= a

Hence the multiplication of (a + b) (a²- ab + b²) is a

(x + y + z) (X² + y² + z ²+ xy + yz + zx)

(x + y + z) (X² + y² + z ²+ xy + yz + zx)

The multiplication of the two binomials is given below

(x + y + z) (x² + y² + z ²+ xy + yz + zx) = (x³ + xy² + xz² + xxy + xyz + x zx + yx² + y³ + yz² + yxy + y.yz + xyz + zx² + zy² + z³ + xyz + zyz + z.zx)

= (x³ + xy² + xz² + x²y + xyz + x²z + yx² + y³ + yz² + xy² + y²z + xyz + zx² + zy² + z³ + xyz + yz² + z²x)

= (x³ + y³ + z³ + xy² + xz² + x²y + 3xyz + x²z + yx² + yz² + xy² + y²z + zx² + zy² + yz² + z²x)