Answer:
x⁴ + 1 + 2x² - y²
Step-by-step explanation:
(a + b)(a - b) = a² - b²
(x² + 1 + y)(x² + 1 - y) = ?
a = x² + 1
b = y
(x² + 1 + y)(x² + 1 - y)
(x² + 1)² - (y)²
(x^2+1+y)( x^2+1-y)
x^2(x^2+1-y)+1(x^2+1-y)+y(x^2+1-y)
x^4+x^2-x^2y+x^2+1-y+x^2y+y-y^2
x^4+2x^2-y^2
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Answers & Comments
Answer:
x⁴ + 1 + 2x² - y²
Step-by-step explanation:
(a + b)(a - b) = a² - b²
(x² + 1 + y)(x² + 1 - y) = ?
a = x² + 1
b = y
(x² + 1 + y)(x² + 1 - y)
(x² + 1)² - (y)²
x⁴ + 1 + 2x² - y²
Answer:
(x^2+1+y)( x^2+1-y)
x^2(x^2+1-y)+1(x^2+1-y)+y(x^2+1-y)
x^4+x^2-x^2y+x^2+1-y+x^2y+y-y^2
x^4+2x^2-y^2