5a² – (3a + 4)(2a - 3)
simplify
Answers
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Answer:
The simplified form of the
5a² - ( 3a + 4 ) ( 2a - 3 ) is
( - a + 4 ) ( a + 3 ).
Step-by-step-explanation:
We have given that
5a² - ( 3a + 4 ) ( 2a - 3 ).
We have to simply this.
5a² - ( 3a + 4 ) ( 2a - 3 )
➞ 5a² - 3a ( 2a - 3 ) - 4 ( 2a - 3 )
➞ 5a² - 6a² + 9a - 8a + 12
➞ - a² + a + 12
➞ - a² + 4a - 3a + 12
➞ a ( - a + 4 ) + 3 ( - a + 4 )
➞ ( - a + 4 ) ( a + 3 )
Additional Information:
1. Simplification:
The reduced form of an expression is called as the simplified form of that expression.
And the process is known as 'simplification'.
2. Methods to solve such problems:
1. Using basic operations
2. Using basic identities
3. Using basic operations:
In this method, we have to use the basic operations i. e. addition, subtraction, multiplication and division of the algebraic expressions.
4. Using basic identities:
In this method, we have to use some basic algebraic Identities according to the question given.
5. Fundamental Algebraic Identities:
1. ( a + b )² = a² + 2ab + b²
2. ( a - b )² = a² - 2ab + b²
3. a² - b² = ( a + b ) ( a - b )
4. ( a + b )³ = a³ + 3a²b + 3ab² + b³
5. a² + b² = ( a + b )² - 2ab
6. a³ + b³ = ( a + b )³ - 3ab ( a + b )