(4y^3 − 5)^2 [4.6] Multiply.
Thank you!
Hint: use (a + b)^2 = a^2 + 2ab + b^2
Here's an example to help you.
(x^2 - 3)^2
= (x^2)^2 + 2(x^2)(-3) + (-3)^2
= x^4 - 6x^2 + 9
Or use (a - b)^2 = a^2 - 2ab + b^2
To multiply the expression (4y^3 - 5)^2 by 4.6, we can follow these steps:
Step 1: Expand the expression (4y^3 - 5)^2.
To expand a square of a binomial, we need to use the formula (a - b)^2 = a^2 - 2ab + b^2.
In this case, a = 4y^3 and b = 5. Let's substitute these values into the formula:
(4y^3 - 5)^2 = (4y^3)^2 - 2(4y^3)(-5) + (-5)^2
Simplifying this expression, we get:
16y^6 - 40y^3 + 25.
Step 2: Multiply the expression (16y^6 - 40y^3 + 25) by 4.6.
Simply multiply each term by 4.6:
4.6(16y^6) - 4.6(40y^3) + 4.6(25)
= 73.6y^6 - 184y^3 + 115.
Therefore, the result of multiplying (4y^3 - 5)^2 by 4.6 is 73.6y^6 - 184y^3 + 115.