Paano mo paramihin ang polynomials (x ^ 2 + 2x - 1) (x ^ 2 + 2x + 5)?

Paano mo paramihin ang polynomials (x ^ 2 + 2x - 1) (x ^ 2 + 2x + 5)?
Anonim

Sagot:

# x ^ 4 + 4x ^ 3 + 6x ^ 2 + 8x-5 #

Paliwanag:

Gumamit lamang ng binagong bersyon ng palara o isang talahanayan

# x ^ 2 (x ^ 2 + 2x + 5) = x ^ 4 + 2x ^ 3 + 5x ^ 2 #

# 2x (x ^ 2 + 2x + 5) = 2x ^ 3 + 2x ^ 2 + 10x #

# -1 (x ^ 2 + 2x + 5) = - x ^ 2-2x-5 #

Lamang idagdag ang lahat ng ito

# x ^ 4 + 2x ^ 3 + 5x ^ 2 + 2x ^ 3 + 2x ^ 2 + 10x-x ^ 2-2x-5 #

# x ^ 4 + kulay (pula) (2x ^ 3 + 2x ^ 3) + kulay (asul) (5x ^ 2 + 2x ^ 2-x ^ 2) + kulay (pink) (10x-2x)

# x ^ 4 + kulay (pula) (4x ^ 3) + kulay (asul) (6x ^ 2) + kulay (pink) (8x) -5 #

Sagot:

# x ^ 4 + 4x ^ 3 + 8x ^ 2 + 8x-5 #

Paliwanag:

Given-

# (x ^ 2 + 2x-1) (x ^ 2 + 2x + 5) #

(x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 2x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x xx5) + (2x xx5) - (1xx5) #

# x ^ 4 + 2x ^ 3-x ^ 2 + 2x ^ 3 + 4x ^ 2-2x + 5x ^ 2 + 10x-5 #

# x ^ 4 + 2x ^ 3 + 2x ^ 3-x ^ 2 + 4x ^ 2 + 5x ^ 2-2x + 10x-5 #

# x ^ 4 + 4x ^ 3 + 8x ^ 2 + 8x-5 #