factorization

Resolve into factors:

x⁴ +x²y² + y⁴

Answer:

x⁴ +x²y² + y⁴

= X⁴ + 2x²y² + y⁴ - x²y²

=(x² +y²)² - x²y²

=(x² +y² – xy) (x² +y² + xy)

Resolve into factors:

x⁴ - x² + 2x - 1

Answer:

x⁴ - x² + 2x - 1

= x⁴ –( x² - 2x + 1)

= x⁴ – (x - 1)²

=( x² + x – 1)( x² - x + 1)

Resolve into factors:

x² -  7x – 228

Answer:

x² -  7x – 228

= x² - 7x + (7/2)²– 228 -(7/2)²

=(x-7/2)² -961/4

=(x -7/2 -31/2)(x – 7/2 +31/2)

=(x +12)(x -19)