The factorize form of expression is 8ab(3a + 4b)[9a² - 12ab + 16b²]
What is expression?
Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?
Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given expression as :
⇒ 216a⁴b+512ab⁴
⇒ ab(6³a³ + 8³b³)
⇒ ab((6a)³ + (8b)³)
Formula as : a³ + b³ = (a + b)(a² - ab + b²)
⇒ ab(6a + 8b)[(6a)² - 6a×8b + (8b)²]
⇒ ab(6a + 8b)[36a² - 48ab + 64b²]
⇒ 8ab(3a + 4b)[9a² - 12ab + 16b²]
Hence, the factorize form of expression is 8ab(3a + 4b)[9a² - 12ab + 16b²]
Learn more about Expressions here:
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