Multiply
(1-5x³)²
I am not sure If I add or multiply the exponents
would this be solved as
1-5x^6?
Yes. You multiply the exponents.
It's the same thing as
(1-5x3+3) = (1-5x6
I must respectfully disagree with DrBob.
(1-5x³)²
= (1-5x³)(1-5x³)
= 1 - 5x³ -5x³ + 25x^6
= 1 - 10x^3 + 25x^6
To multiply the expression (1-5x³)², we need to apply the exponent to each term separately.
Using the formula for expanding a binomial square, we have:
(1-5x³)² = (1-5x³)(1-5x³)
To find the product, we can use the distributive property and multiply each term of the first expression by each term of the second expression:
= 1(1) + 1(-5x³) + (-5x³)(1) + (-5x³)(-5x³)
= 1 - 5x³ - 5x³ + 25x⁶
Combining like terms, we get:
= 1 - 10x³ + 25x⁶
So, the correct answer would be 1 - 10x³ + 25x⁶.
To multiply the expression (1-5x³)², you need to use the distributive property of exponents. First, you square each term inside the parentheses individually:
(1-5x³)² = (1)² - 2(1)(5x³) + (5x³)²
This simplifies to:
1 - 10x³ + 25x⁶
So, the correct answer is 1 - 10x³ + 25x⁶.