Write the following squares of binomials as trinomias:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(xi)
(xii)
(i)
x2 + 2 (x) (2) + 22
= x2 + 4x + 4
(8x)2 + 2 (8x) (3b) + (3b)2
= 16x2 + 48xb + 9b2
(2m)2 + 2 (2m) (1) + 12
= 4m2 + 4m + 1
(9a)2 + 2 (9a) () + (
2
= 81a2 + 3a +
(x)2 + 2 (x) () + (
)2
= x2 + x3 + x4
()2 – 2 (
) (
) + (
)2
= x2 -
+
y2
(3x)2 – 2 (3x) () + (
)2
= 9x2 – 2 +
()2 – 2 (
) (
) + (
)2
= - 2 +
()2 – 2 (
) (
) + (
)2
= a2 -
ab +
b
(a2b)2 – 2 (a2b) (bc2) + (bc2)2
= a4b2 – 2a2b2c2 + b2c4
()2 + 2 (
) (
) + (
)2
= +
a +
(x2)2 – 2 (x2) (ay) + (ay)2
= x4 – 2x2ay + a2y2