can someone help me simplify 2a^2b^3(4a^2+3ab^2-ab)=? the first part of the answer is 8a^4
not quite, you forgot the b part
1st term ---- 8a^4 b^3
etc.
2a^2b^3(4a^2+3ab^2-ab)
= 2a^2b^3*4a^2
+ 2a^2b^3*3ab^2
- 2a^2b^3*ab
= 8a^4b^3 + 6a^3b^5 - 2a^3b^4
i don't know whats after that i got +6a^3b^5-2a^3b^4. is it right?
ty
To simplify the expression 2a^2b^3(4a^2+3ab^2-ab), you can use the distributive property of multiplication over addition/subtraction.
Step 1: Distribute 2a^2b^3 to each term inside the parentheses.
2a^2b^3 * 4a^2 = 8a^4b^3
2a^2b^3 * 3ab^2 = 6a^3b^5
2a^2b^3 * -ab = -2a^3b^4
Now you can combine like terms by adding or subtracting the coefficients of terms that have the same variables raised to the same powers.
Step 2: Combine like terms.
8a^4b^3 + 6a^3b^5 - 2a^3b^4
Step 3: Simplify the expression if possible.
Since the variables (a and b) and their exponents are different for each term, you cannot simplify the expression any further. Therefore, the final simplified form is:
8a^4b^3 + 6a^3b^5 - 2a^3b^4.