We can use the binomial theorem to expand (3x+5)14 and (3+5x)14 as sums of terms (monomials). Indicate all the terms (monomials) that are the same in both sums and explain why you know this, without fully expanding out all of the terms.

The digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 are to be filled into the boxes below and each digit can be used only once, ▬▬▬▬× ‒‒‒× X so that the expression produce the smallest possible product, called P. Find the remainder when P is divided by 4. (A) 0 (B) 1 (C) 2 (D) 3 X

Use the product of conjugates to multiply (3u-9v)(3u+9v)