Answer :
Sure, let's break down the expression \( a b^4 d - b^7 d^8 x + a^2 \) and understand each term step-by-step.
1. Identify each term:
The given expression consists of three separate terms:
- \( a b^4 d \)
- \( - b^7 d^8 x \)
- \( + a^2 \)
2. Analyzing each term:
- The first term is \( a b^4 d \):
- \( a \) is a constant or variable.
- \( b^4 \) means \( b \) raised to the power of 4.
- \( d \) is another constant or variable.
- The multiplication \( a b^4 d \) means multiplying these three components together.
- The second term is \( - b^7 d^8 x \):
- The negative sign indicates subtraction.
- \( b^7 \) means \( b \) raised to the power of 7.
- \( d^8 \) means \( d \) raised to the power of 8.
- \( x \) is another constant or variable.
- This term represents the product of these values, and it is being subtracted from the expression.
- The third term is \( + a^2 \):
- \( a^2 \) means \( a \) raised to the power of 2.
- This term is a constant or variable squared, added to the expression.
3. Combine the terms:
Now, we combine these three terms into the complete expression:
[tex]\[ a b^4 d - b^7 d^8 x + a^2 \][/tex]
By examining the expression step-by-step, we identify the components and their operations. This breakdown helps us understand the structure and operations within the expression.
1. Identify each term:
The given expression consists of three separate terms:
- \( a b^4 d \)
- \( - b^7 d^8 x \)
- \( + a^2 \)
2. Analyzing each term:
- The first term is \( a b^4 d \):
- \( a \) is a constant or variable.
- \( b^4 \) means \( b \) raised to the power of 4.
- \( d \) is another constant or variable.
- The multiplication \( a b^4 d \) means multiplying these three components together.
- The second term is \( - b^7 d^8 x \):
- The negative sign indicates subtraction.
- \( b^7 \) means \( b \) raised to the power of 7.
- \( d^8 \) means \( d \) raised to the power of 8.
- \( x \) is another constant or variable.
- This term represents the product of these values, and it is being subtracted from the expression.
- The third term is \( + a^2 \):
- \( a^2 \) means \( a \) raised to the power of 2.
- This term is a constant or variable squared, added to the expression.
3. Combine the terms:
Now, we combine these three terms into the complete expression:
[tex]\[ a b^4 d - b^7 d^8 x + a^2 \][/tex]
By examining the expression step-by-step, we identify the components and their operations. This breakdown helps us understand the structure and operations within the expression.
