maths questions!!!?

Question

i have to expand and simplify these...
x(x+1)+1(x+1)

s(s+4)-2(s+4)

please help
much thanks

Answer 1

x(x+1)+1(x+1)....
=(x.x + x.1) + (1.x + 1.1)
=(x^2 + x) + (x + 1)
=x^2 + x + x + 1
= x^2 + 2.x + 1



now you try the other?

Answer 2

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

s+4( s-2)= s^2-2s+4s-8=s^2+2s-8

Use the form of the expressons as you like.

Answer 3

x(x+1)+1(x+1)
distribute x
x^2 +x +1(x+1)
distribute 1
x^2 +x +x +1
combine like terms
X^2 +2x +1
factor this:
(x+1)^2

same process for second one

Answer 4

x(x+1)+1(x+1)

s(s+4)-2(s+4)



One easy way to solve it is to halve the equation first.
So, for this:
x(x+1)+1(x+1)

do the

x(x+1)

then the

+1(x+1)

Answer 5

x^2 +2x +1
s^2 + 2s + 8

Answer 6

x^2+x+x+1
x^2+2x+1

s^2+4s-2s-8
s^2+2s-8

Answer 7

not good at maths sorry