Question

finding the product for (7x+1)(x^2+1) and for the problem (2x+6)(x-10) Also finding the product thank you very much

Answer 1

It is importnt that you attempt these problems yourself. use the rule that
(a+b)(c+d) = a(c+d) + b(c+d)
=ac + ad + bc + bd.

In other words, add up all the possible pairs of products from each of the two terms in parentheses.

In the first case, the answer is
7x^3 + 7x + x^2 + 1

Now you try the other one.

Answer 2

Use the rule:

X(A + B) = X A + X B

If you take:

X = (7x+1),

A = x^2 and

B = 1,

you get:

(7x+1)(x^2 + 1) = (7x+1)x^2 + (7x+1)1 =

x^2 (7x+1) + 7x+1

You can now expand the term x^2 (7x+1)

by using the same rule again. So you put:

X = x^2,

A = 7 x,

B = 1