3questions show how you solved the problem

1. subtract & simplify (–y2 – 4y – 8) – (–4y2 – 6y + 3)

2.multiply and simplify 2x2y3z2 · 4xy4x2

3.multiply and simplify (x – 4) (x2 – 5x – 6)

1.

2.

3.

Step-by-step explanation:

1. We have been given an expression and we are asked to subtract and simplify our given expression.

Using order of operations (PEMDAS), first of all let us remove parenthesis.

Now let us group like terms.

Upon combining like terms our expression simplifies to:

Therefore, our expression simplifies to .

2. We have been given an expression and we are asked to multiply and simplify our given expression.

Using exponent property we will get,

Therefore, our given expression simplifies to .

3. We are asked to multiply and simplify our expression .

Using distributive property we will get,

Upon combining like terms we will get,

Therefore, our given expression simplifies to .

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)