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Acitivity square of trinomial
1.
MS. G. MARTIN ACTIVITY: The
Square of Trinomial
2.
1. Find the
product of (x + y – 3)2.
3.
1. Find the
product of (x + y – 3)2. Solution: Using the formula of F2 + M2 + L2 + 2FM + 2FL + 2ML F2 = (x)2 = x2 M2 = (y)2 = y2 L2 = (-3)2 = 9 2FM = 2(x . y) = 2xy 2FL = 2(x . -3) = -6x 2ML = 2(y . -3) = -6y = x2 + y2 + 9 + 2xy – 6x – 6y = x2 + 2xy + y2 – 6x – 6y + 9
4.
2. Solve (m
-2n + 4)2.
5.
2. Solve (m
-2n + 4)2. Solution: Using the formula of F2 + M2 + L2 + 2FM + 2FL + 2ML F2 = (m)2 = m2 M2 = (-2n)2 = 4n2 L2 = (4)2 = 16 2FM = 2(m . -2n) = -4mn 2FL = 2(m . 4) = 8m 2ML = 2(-2n . 4) = -16n = m2 + 4n2 + 16 – 4mn + 8m – 16n = m2 - 4mn + 4n2 + 8m – 16n + 16
6.
3. Solve (x2
+ x + 5)2.
7.
3. Solve (x2
+ x + 5)2. Solution: Using the formula of F2 + M2 + L2 + 2FM + 2FL + 2ML F2 = (x2)2 = x4 M2 = (x)2 = x2 L2 = (5)2 = 25 2FM = 2(x2 . x) = 2x3 2FL = 2(x2 . 5) = 10x2 2ML = 2(x . 5) = 10x = x4 + x2 + 25 + 2x3 + 10x2 + 10x = x4 + 2x3 + 11x2 + 10x + 25
8.
Thank You!
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