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Pattern

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Polynomial Identities

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StarStarStarStar

(a+b)2(a + b)^2

StarStarStarStar

a2+2ab+b2a^2 + 2ab + b^2

StarStarStarStar

(a−b)2(a - b)^2

StarStarStarStar

a2−2ab+b2a^2 - 2ab + b^2

StarStarStarStar

(a+b)4(a + b)^4

StarStarStarStar

a4+4a3b+6a2b2+4ab3+b4a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

StarStarStarStar

(a−b)4(a - b)^4

StarStarStarStar

a4−4a3b+6a2b2−4ab3+b4a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

StarStarStarStar

(a+b)(a−b)(a2+b2)(a + b)(a - b)(a^2 + b^2)

StarStarStarStar

a4−b4a^4 - b^4

StarStarStarStar

(x+a)(x+b)(x + a)(x + b)

StarStarStarStar

x2+(a+b)x+abx^2 + (a + b)x + ab

StarStarStarStar

(x−a)(x−b)(x - a)(x - b)

StarStarStarStar

x2−(a+b)x+abx^2 - (a + b)x + ab

StarStarStarStar

(x+a)(x−b)(x + a)(x - b)

StarStarStarStar

x2+(a−b)x−abx^2 + (a - b)x - ab

StarStarStarStar

(x−a)(x+b)(x - a)(x + b)

StarStarStarStar

x2+(b−a)x−abx^2 + (b - a)x - ab

StarStarStarStar

((a+b+c)(a+b−c))((a + b + c)(a + b - c))

StarStarStarStar

a2+b2−c2+2ab−2ac−2bca^2 + b^2 - c^2 + 2ab - 2ac - 2bc

StarStarStarStar

(a+b)2−(a−b)2(a + b)^2 - (a - b)^2

StarStarStarStar

4ab4ab

StarStarStarStar

(a2−b2)(a2+b2)(a^2 - b^2)(a^2 + b^2)

StarStarStarStar

a4−b4a^4 - b^4

StarStarStarStar

(a+b)3(a + b)^3

StarStarStarStar

a3+3a2b+3ab2+b3a^3 + 3a^2b + 3ab^2 + b^3

StarStarStarStar

(a−b)3(a - b)^3

StarStarStarStar

a3−3a2b+3ab2−b3a^3 - 3a^2b + 3ab^2 - b^3

StarStarStarStar

(a+b)(a−b)(a + b)(a - b)

StarStarStarStar

a2−b2a^2 - b^2

StarStarStarStar

(x+y+z)2(x + y + z)^2

StarStarStarStar

x2+y2+z2+2xy+2xz+2yzx^2 + y^2 + z^2 + 2xy + 2xz + 2yz

StarStarStarStar

(x−y−z)2(x - y - z)^2

StarStarStarStar

x2+y2+z2−2xy−2xz+2yzx^2 + y^2 + z^2 - 2xy - 2xz + 2yz

StarStarStarStar

(a+b+c)2(a + b + c)^2

StarStarStarStar

a2+b2+c2+2ab+2ac+2bca^2 + b^2 + c^2 + 2ab + 2ac + 2bc

StarStarStarStar

(a+b)(a2−ab+b2)(a + b)(a^2 - ab + b^2)

StarStarStarStar

a3+b3a^3 + b^3

StarStarStarStar

(a−b)(a2+ab+b2)(a - b)(a^2 + ab + b^2)

StarStarStarStar

a3−b3a^3 - b^3

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