Smart Math Methods algebra arithmetic operations 

1. Addition and reduction Algebra Shape On the algebra, addition and subtraction operations can only be performed on similar tribes. Totalizing or subtract the coefficients on similar tribes.Determine the sum and subtraction algebraic form following.a. -4ax + 7axb. (2x2 - 3x + 2) + (4x2 - 5x + 1)c. (3a2 + 5) - (4a2 - 3a + 2)Smart Math Solution:a. 7ax-4ax + = (-4 + 7) ax = 3ax 
b. (2x2 - 3x + 2) + (4x2 - 5x + 1) = 2x2 - 3x + 2 + 4x2 - 5x + 1= 2x2 + 4x2 - 3x - 5x + 2 + 1 = (2 + 4) x2 + (-3 - 5) x + (2 + 1)= 6x2 - 8x + 3c. (3A2 + 5) - (4A2 - 3a + 2) + 5 = 3A2 - 4A2 + 3a - 2= 3A2 - 4A2 + 3a + 5-2 = (3-4) a2 + 3a + (5-2) =-a2 + 3a + 32. 

Multiplication You need to recall that the integer multiplication effect / distributive properties of multiplication of the sum, ieax (b + c) = (axb) + (axc and distributive properties of multiplication the reduction, the ax (b - c) = (axb) - (axc),for any integers a, b, and c. This also applies to the nature of the algebra multiplication.a. Multiplying constants with the algebra of multiplication of a constant number k with the tribes and tribal algebraic form two stated as follows.k (ax) = kax k (ax + b) = kax + kb Hypotenuse angled triangle are (2x + 1) cm, while the length of the side of the elbow (3x - 2) cm and (4x - 5) cm. Find the area of ​​the triangle. Describe the following algebraic form, and then simplify it.a. 4 (p + q)b. 5 (ax + by)c. 3 (x - 2) + 6 (7x + 1)d. -8 (2x - y + 3z)

 Smart Math Solution:a. 4 (p + q) = 4p + 4Qb. 5 (ax + by) = 5ax + 5byc. 3 (x - 2) + 6 (7x + 1) = 3x - 42x + 6 + 6 = (3 + 42) x - 6 + 6 = 45xd. -8 (2x - y + 3z) =-16x + 8y - 24z

 b. Multiplication between two forms of algebraic as a constant multiplication by algebraic form, to determine the product of the two forms of algebra we can use the distributive properties of multiplication to addition and multiplication distributive nature of the reduction.Besides this way, to determine the product of the two forms of algebra, can use the following method.Note the multiplication of the algebra of two parts with the following two parts.(ax + b) (cx + d) = ax X cx + d + cx + b X b X d = acx2 + (ad + bc) x + bd

The above problem is to describe some of the workings of arithmetic operations in the form of algebraic subtraction, addition and multiplication, the ways solving already elaborated on smart math methods.