Can someone tell me how to factorize algebraic expressions? With some examples. It is confusing me a lot. Please revert asap.
Answers
Step-by-step explanation:
Introduction to Factorization of Algebraic Expressions
The most common question asked by students when they are faced with algebra problems is how does it apply to their everyday lives? The fact of the matter is that algebra is abstraction and largely a mathematical tool. However, the habit of approaching problems systematically and methodically is what essentially translates to problem solving abilities in real life.
What are factors? What is factorisation?
Think of factors as the ingredients of something.
Example 1
Consider the expression
4
x
2
+
8.
There are two terms. Do they have any factor common?
The second term “
8
” can be re-written as
(
4
×
2
)
.
So,
4
is a common factor in the two terms.
We can now factorise the expression:
4
x
2
+
8
=
4
(
x
2
+
2
)
Verify: Always multiply the factorised expression and see if you get the original expression back.
Example 2
Consider
4
y
3
+
2
y
2
.
Again, we have two terms. Do they have any factor common?
Both terms have
2
as a common factor. But that’s not all. Even
y
2
is common.
So, the highest common factor is
2
y
2
.
That is, the second term is also a factor of the first.
We can now factorise the expression:
4
y
3
+
2
y
2
=
2
y
2
(
2
y
+
1
)
Verify: Always multiply the factorised expression and see if you get the original expression back.
Step-by-step explanation: A given number's factors are the numbers that multiply to give that number. For example, the factors of 12 are 1, 12, 2, 6, 3 and 4, because 1 × 12, 2 × 6, and 3 × 4 all equal 12. Another way to think of this is that a given number's factors are the numbers by which it is evenly divisible.
Examples - For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
Hope this answer Helped u
Thnx
Please mark me as brainliest