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
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