Question

Please help! 3 Questions please show how you solved the problem

Answer 1

Answer:

1. $3y^2+2y-11$

2. $8y^{7}x^{5}z^2$

3. $x^3-9x^2+14x+24$

Step-by-step explanation:

1. We have been given an expression $(-y^2-4y-8)-(-4y^2-6y+3)$ and we are asked to subtract and simplify our given expression.

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

$-y^2-4y-8+4y^2+6y-3$

Now let us group like terms.

$(-y^2+4y^2)+(-4y+6y)+(-8-3)$

Upon combining like terms our expression simplifies to:

$(3y^2)+(2y)+(-11)$

$3y^2+2y-11$

Therefore, our expression simplifies to $3y^2+2y-11$.

2. We have been given an expression $(2x^2y^3z^2)*(4xy^4x^2)$ and we are asked to multiply and simplify our given expression.

$(2x^2y^3z^2)*(4y^4x*x^2)$

$(2x^2y^3z^2)*(4y^4x^3)$

Using exponent property $a^b*a^c=a^{b+c}$ we will get,

$2*4x^{2+3}y^{3+4}z^2$

$8x^{5}y^{7}z^2$

$8y^{7}x^{5}z^2$

Therefore, our given expression simplifies to $8y^{7}x^{5}z^2$.

3. We are asked to multiply and simplify our expression $(x-4)(x^2-5x-6)$.

Using distributive property we will get,

$x*x^2-5x*x-6*x-4*x^2-5x*-4-6*-4$

$x^3-5x^2-6x-4x^2+20x+24$

Upon combining like terms we will get,

$x^3+(-5x^2-4x^2)+(-6x+20x)+24$

$x^3+(-9x^2)+(14x)+24$

$x^3-9x^2+14x+24$

Therefore, our given expression simplifies to $x^3-9x^2+14x+24$.