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3 years ago

Simplify (3x2 − 2) (5x2 5x − 1).

1 answer:

5 0

If you would like to simplify (3x^2 - 2) * (5x^2 + 5x - 1), you can calculate this using the following steps:

(3x^2 - 2) * (5x^2 + 5x - 1) = 3x^2 * 5x^2 + 3x^2 * 5x - 3x^2 * 1 - 2 * 5x^2 - 2 * 5x + 2 * 1 = 15x^4 + 15x^3 - 3x^2 - 10x^2 - 10x + 2 = 15x^4 + 15x^3 - 13x^2<span> - 10x + 2
</span>
The correct result would be 15x^4 + 15x^3 - 13x^2<span> - 10x + 2.</span>

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Complete the square to the problem X^2+6x-16=0

marishachu [46]

Answer:

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

3 0

3 years ago

Progress

irina [24]

An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.

<u>Given the following data:</u>

a = (q + r) centimeters.

b = (5q - 10s) centimeters.

c = (5s + 7r) centimeters.

<h3>What is a triangle?</h3>

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

<h3>How to calculate the perimeter of a triangle?</h3>

Mathematically, the perimeter of a triangle can be calculated by using this formula:

P = a + b + c

<u>Where:</u>

a, b, and c are length of sides.

Substituting the given parameters into the formula, we have;

P = q + r + 5q - 10s + 5s + 7r

P = 6q + 8r - 5s centimeters.

Read more on perimeter of triangle here: brainly.com/question/27109587

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7 0

1 year ago

5/16=n/16 help please

Vsevolod [243]

Both have the same denominator
Remove the denominator
5=n

3 0

3 years ago

Read 2 more answers

If a: b= 3:4 then find the value of<br>(6a-3b :(5a + 2b)

KengaRu [80]

Answer:

6 : 23

Step-by-step explanation:

$a : b = 3 : 4 ....(given)\\ \\ let \: a = 3x \\ b = 4x \\ \\ (6a - 3b) : (5a + 2b) \\ \\ = \frac{(6a - 3b)}{(5a + 2b)} \\ \\ = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\ \\ = \frac{18x- 12x}{15x+ 8x} \\ \\ = \frac{6x}{23x} \\ \\ = \frac{6}{23} \\ \\ (6a - 3b) : (5a + 2b) = 6 : 23$

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