To factorize the expression x2y2 + xy + xy2z + yz + x2yz + xz, we can follow these steps:

Step 1: Group the terms with common factors.
x2y2 + xy + xy2z + yz + x2yz + xz
= (x2y2 + xy) + (xy2z + yz) + (x2yz + xz)

Step 2: Factor out the common factors from each group.
= xy(x + 1) + yz(xy + 1) + xz(xy + 1)

Step 3: Notice that (xy + 1) is a common factor in all three terms.
= (xy + 1)(x + yz + xz)

Therefore, the factorization of x2y2 + xy + xy2z + yz + x2yz + xz is (xy + 1)(x + yz + xz).

Question

To factorize the expression x2y2 + xy + xy2z + yz + x2yz + xz, we can follow these steps:

Step 1: Group the terms with common factors.
   x2y2 + xy + xy2z + yz + x2yz + xz
   = (x2y2 + xy) + (xy2z + yz) + (x2yz + xz)

Step 2: Factor out the common factors from each group.
   = xy(x + 1) + yz(xy + 1) + xz(xy + 1)

Step 3: Notice that (xy + 1) is a common factor in all three terms.
   = (xy + 1)(x + yz + xz)

Therefore, the factorization of x2y2 + xy + xy2z + yz + x2yz + xz is (xy + 1)(x + yz + xz).

Knowee AI · Accepted Answer

To factorize the expression x2y2 + xy + xy2z + yz + x2yz + xz, we can follow these steps:

Step 1: Group the terms with common factors.
   x2y2 + xy + xy2z + yz + x2yz + xz
   = (x2y2 + xy) + (xy2z + yz) + (x2yz + xz)

Step 2: Factor out the common factors from each group.
   = xy(x + 1) + yz(xy + 1) + xz(xy + 1)

Step 3: Notice that (xy + 1) is a common factor in all three terms.
   = (xy + 1)(x + yz + xz)

Therefore, the factorization of x2y2 + xy + xy2z + yz + x2yz + xz is (xy + 1)(x + yz + xz).

The factorization of x2y2 + xy + xy2z + yz + x2yz + xz is