Algebra!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Question

A. (-x^3)(4x)(-6x^5)

 

B.(x^3+4x^2-7x-6)-(-x^2+5x+4)

 

C. (3x-2)(x^2+4x-2)

Answer 1

A). (-x³)(4x)(-6x⁵).

[(-x³)(4x)](-6x⁵)

The Rules of exponentiation are:  x^{(p + q)} = (x^p)(x^q).

[-4x³⁺¹](-6x⁵)

[-4x⁴](-6x⁵)

(-4)(-6)(x⁴)(x⁵)

The product of two negative signs is positive.

24(x⁴⁺⁵)

24(x⁹).

Therefore (-x³)(4x)(-6x⁵) = 24x⁹.

Answer 2

B). (x³ + 4x²- 7x - 6) - (- x² + 5x + 4)

Product of two different signs with negative.

x³ + 4x²- 7x - 6 + x² - 5x - 4

x³ + (4x² + x²) + (-7x - 5x) + (- 6  - 4)

x³ + 5x² - 12x - 10.

Answer 3

C). (3x - 2)(x²+ 4x - 2)

FOIL method: the product of two binomials is the sum of the products of the First terms, the Outer terms, the Inner terms and the Last terms.

3x(x²) + 3x(4x) + 3x(-2) - 2(x²) - 2(4x) - 2(-2)

3x³ + 12x² - 6x - 2x² - 8x + 4.

3x³ + (12x²- 2x²) + (-6x - 8x) + 4.

3x³ + 10x² - 14x + 4.

Therefore (3x - 2)(x²+ 4x - 2) = 3x³ + 10x² - 14x + 4.