a (b plus c) = please help me fast
Answers
Step-by-step explanation:
a plus b plus c WHOLE SQUARE FORMULA
a plus b plus c Whole Square Formula :
In this section, we are going to see the formula/expansion for (a + b + c)2.
That is,
(a + b + c)2 = (a + b + c)(a + b + c)
(a - b)2 = a2 + ab + ac + ab + b2 + bc + ac + bc + c2
(a - b)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
a plus b plus c Whole Square Formula - Example Problems
Problem 1 :
Expand :
(5x + 3y + 2z)2
Solution :
(5x + 3y + 2z)2 is in the form of (a + b + c)2
Comparing (a + b + c)2 and (5x + 3y + 2z)2, we get
a = 5x
b = 3y
c = 2z
Write the formula / expansion for (a + b + c)2.
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
Substitute 5x for a, 3y for b and 2z for c.
(5x + 3y + 2z)2 :
= (5x)2 + (3y)2 + (2z)2 + 2(5x)(3y) + 2(3y)(2z) + 2(5x)(2z)
(5x + 3y + 2z)2 = 25x2 + 9y2 + 4z2 + 30xy + 12yz + 20xz
So, the expansion of (5x + 3y + 2z)2 is
25x2 + 9y2 + 4z2 + 30xy + 12yz + 20xz