Addition and Subtraction of polynomials
(2x2 – x4 + 5) + (7x2 + 2x4 – 10)
= 9x2 + x4 – 5
(n – 5)(n + 10)
= n2 + 5n – 50
x2 + 10x + 25
= (x + 5)2
a2 + ya + 1
= (a + y)(a-1)
14x6 + 56x3
= 14x3(x3 + 4)
(4y2 – 9y + 8) - (3y2 – 7y + 13)
= y2 – 2y – 5
51u3v – 57u2v + 15 / 3uv
= 17u2 – 19uv + 5uv
r2 - 8r + 16
= (r - 4)2
x2 – 8x + 15
= (x – 5)(x – 3)
54x2y3 + 36x4y2z
= 9x3y2(6y + 4x2)
(9k + 5k2 – 13) + (6 + 4k3 – 14k)
= 4k3 + 5k2 – 5k – 7
(5 + d)(3d + 2 – d2)
= -d3 – 2d2 + 17d + 10
15x2 - 16x - 7
= (3x + 1)(5x - 7)
q2 + 7q + 10
= (q + 5)(q + 2)
9cm + c + 9dm + d
= (9m + 1)(c + d)
(4b5 + b4 + 3b3 – 3b + 5) + (3b5 + 4b3 + 8b + 3)
= 7b5 + b4 + 7b3 + 5b + 8
y3 – 3y2 – 2y – 5 / y + 2
= y2 + 5y – 12 + (19/y + 2)
81x2 - 36xy + 4y2
(9x - 2y)2
3x2 – 19x + 28
= (3x – 7)(x – 4)
28x2y – 56y + 77k2
= 7y(4x2 – 8 + 11k2)
(2r – 5r3 + 2r5 – 9) – (-10r5 + 2r4 – 5r + 6 + 2a3)
= 7r – 5r3 + 12r5 – 15 – 2r4 – 2a3
(x2 + 3x + 1)(x2 – x – 2)
= x4 + 2x3 – 4x2 – 7x – 2
(7x + 9y)2
= 49x2 + 126xy + 81y2
r2 + 15r + 26
= (r + 13)(r + 2)
42c3f – 126c5 – 21c4
= 21c3(2f – 6c2 – c)