Question

1) 2x(x3-5x2+2) = 2) (a+5)*(2a-7) = 3) (9x-y)(4x-3y) = 4) 9m2-12mm 5) 15x6-5x4 =

Answer 1

1)2х(х^3-5х^2+2)=2х^4-10х^3+4х
2)(а+5)(2а-7)=2а^2-7а+10а-35=2а+3а-35
3)(9х-у)(4х-3у)=36х^2-27ху-4ху+3у^2=36х^2-31ху+3у^2
4)9м^2-12мм=9м^2-12м^2=-3м^2
5)15х^6-5х^4=15х^4*х^2-5х^4=5х^4(3х^2-1)

Answer 2

Let's simplify each expression one by one:

1. $2x(x^3 - 5x^2 + 2)$

To simplify, you need to distribute the $2x$ across the terms inside the parentheses:

$2x \cdot x^3 - 2x \cdot 5x^2 + 2x \cdot 2$

Now, perform the multiplication:

$2x^4 - 10x^3 + 4x$

2. $(a + 5)(2a - 7)$

Use the distributive property (FOIL method) to simplify:

$a \cdot 2a + a \cdot (-7) + 5 \cdot 2a + 5 \cdot (-7)$

Now, perform the multiplication:

$2a^2 - 7a + 10a - 35$

Combine like terms:

$2a^2 + 3a - 35$

3. $(9x - y)(4x - 3y)$

Apply the distributive property:

$9x \cdot 4x - 9x \cdot 3y - y \cdot 4x + y \cdot 3y$

Now, perform the multiplication:

$36x^2 - 27xy - 4xy + 3y^2$

Combine like terms:

$36x^2 - 31xy + 3y^2$

4. $9m^2 - 12mm$

This is a simple polynomial expression. Just combine like terms:

$9m^2 - 12m^2$

Simplify:

$-3m^2$

5. $15x^6 - 5x^4$

This is also a polynomial expression. Combine like terms:

$15x^6 - 5x^4$

No further simplification can be done for this expression.

Final simplified expressions:

1. $2x^4 - 10x^3 + 4x$
2. $2a^2 + 3a - 35$
3. $36x^2 - 31xy + 3y^2$
4. $-3m^2$
5. $15x^6 - 5x^4$