Use the foil method to find the product.
(4x^6-7)(x^8-4)
this is the answer that I got:4x^14-7x^8-16x^6+28
Correct.
Next problem:
expand the product
(1 + 2x^3 + x^6)(4 + x + 2x^2)(1+x^5)
thanks
To find the product using the FOIL method, which stands for First, Outer, Inner, Last, follow these steps:
Step 1: Identify the terms you need to multiply. In this case, we have two binomials: (4x^6 - 7) and (x^8 - 4).
Step 2: Multiply the First terms of each binomial. So, multiply 4x^6 and x^8: 4x^6 * x^8 = 4x^(6+8) = 4x^14.
Step 3: Multiply the Outer terms of each binomial. So, multiply 4x^6 and -4: 4x^6 * -4 = -16x^6.
Step 4: Multiply the Inner terms of each binomial. So, multiply -7 and x^8: -7 * x^8 = -7x^8.
Step 5: Multiply the Last terms of each binomial. So, multiply -7 and -4: -7 * -4 = 28.
Step 6: Combine the products from Steps 2, 3, 4, and 5. The final expression is:
4x^14 + (-16x^6) + (-7x^8) + 28.
Simplifying the expression, we get:
4x^14 - 7x^8 - 16x^6 + 28.
So, your answer is correct: 4x^14 - 7x^8 - 16x^6 + 28.