Math & Physics Assignment Philippines

While having a coffee break, try to solve this math problem.

What is the value of X?

Viral math problem in 2022!

What is the value of yellow area?

Where is the one dollar?

Showing the tiling of square below, what is the value of x?

important formula in life

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.

Mathematics is the most beautiful and most powerful creation of the human spirit.

Addition of Algebraic Expressions

In the addition of algebraic expressions when adding the algebraic expressions you need to collect the like terms and then add them. The sum of the several like terms would be the like term whose coefficient is the total of the coefficients of the like terms.

There are two ways for solving the algebra addition.

Horizontal Method:

In this method, you have to write all expressions in a horizontal line and then arrange the terms are to collect all the groups of like terms. These like terms are then added.

Column Method:

In this method, you need to write each expression in a separate row in a way that there like terms are arranged one below the other in the column. Then you need to add the terms column-wise.

Let us look at the examples using both these methods.

Add these algebraic expressions: (6a + 8b - 7c), (2b + c - 4a) and (a - 3b - 2c)

Solution:

According to the Horizontal Method:

(6a + 8b - 7c) + (2b + c - 4a) + (a - 3b - 2c)

Removing the terms from the brackets gives you

= 6a + 8b - 7c + 2b + c - 4a + a - 3b - 2c

Arranging the like terms together, then adding them gives you

= 6a - 4a + a + 8b + 2b - 3b - 7c + c - 2c
Hence, the answer is 3a + 7b - 8c
According to the Column Method:

Solution:

First, write the terms of these expressions in the same order in the form of rows in a way that the like terms are below each other and the add them column-wise.

6a + 8b - 7c

- 4a + 2b + c

a - 3b - 2c
_____________

3a + 7b - 8c

_____________

Hence, your answer is 3a + 7b - 8c.

Subtraction of Algebraic Expressions
The subtraction of algebraic expressions can be done by following these steps:

First, arrange the terms of all the expressions given in the same order.

The next step is to write these expressions in two rows in a way that the like terms occur one below the other. Keep the expression that needs to be subtracted in the second row.

Then change the sign of every term in the lower row from - to + and from + to -.

Lastly, with these new signs of the terms of the lower row, add them all column-wise.

Consider the following example:

Subtract the expression 4a + 5b - 3c from the expression 6a - 3b + c.

Solution:

6a - 3b + c

+ 4a + 5b - 3c

(-) (-) (+)

_____________

2a - 8b + 4c

_____________

Hence your answer is 2a - 8b + 4c.

I add 7 to 10, and get five. Why is this correct?

what do you think?