20. Realiza la siguiente sustracción: De $1 m^4 n^3+6$ restar $2 m^4 n^3-12$

Distribute the negative sign: ( 1 m 4 n 3 + 6 ) − ( 2 m 4 n 3 − 12 ) = 1 m 4 n 3 + 6 − 2 m 4 n 3 + 12 .
Combine like terms: ( 1 m 4 n 3 − 2 m 4 n 3 ) + ( 6 + 12 ) .
Simplify: − 1 m 4 n 3 + 18 .
The final answer is: − m 4 n 3 + 18 ​ .

Explanation

Understanding the Problem We are asked to subtract the expression 2 m 4 n 3 − 12 from the expression 1 m 4 n 3 + 6 . This involves combining like terms after distributing the negative sign.

Distributing the Negative Sign First, distribute the negative sign to the second expression:


( 1 m 4 n 3 + 6 ) − ( 2 m 4 n 3 − 12 ) = 1 m 4 n 3 + 6 − 2 m 4 n 3 + 12

Combining Like Terms Next, combine like terms:

( 1 m 4 n 3 − 2 m 4 n 3 ) + ( 6 + 12 )

Simplifying the Expression Now, simplify the expression by performing the arithmetic operations:

( 1 − 2 ) m 4 n 3 + ( 6 + 12 ) = − 1 m 4 n 3 + 18
So the result is − m 4 n 3 + 18 .

Final Answer Therefore, the result of the subtraction is − m 4 n 3 + 18 .

Examples
Understanding how to subtract algebraic expressions is crucial in many fields, such as physics and engineering, where you often need to manipulate equations to solve for unknown variables. For example, in circuit analysis, you might need to subtract one voltage expression from another to find the voltage drop across a resistor. Similarly, in mechanics, you might subtract one force expression from another to find the net force acting on an object. These skills are also useful in computer graphics when manipulating coordinates and transformations.

Answered by GinnyAnswer | 2025-07-03

Al restar 2 m 4 n 3 − 12 de 1 m 4 n 3 + 6 , se obtiene − m 4 n 3 + 18 . Primero se distribuye el signo negativo, luego se combinan los términos semejantes y se simplifica la expresión. La respuesta final es − m 4 n 3 + 18 .
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Answered by Anonymous | 2025-07-04