(5x2 + 23x - 7) - (x2 - 4x + 21) is equivalent to expression

4x² - 27x - 28 is the answer

Step-by-step explanation:

As per question,

(5x² + 23x - 7) - (x² - 4x + 21)

Removing the parentheses,

→ 5x² + 23x - 7 - x² + 4x - 21)

Now reorder and gather the like terms,

→ (5x² - x²) + (23x + 4x) + ( -7-21 )

Collecting the coefficients of like terms,

→ (5-1)x² - (23+4)x + ( -7-21 )

Calculating them now, we get,

→ 4x² - 27x - 28

So, (5x² + 23x - 7) - (x² - 4x + 21) = 4x² - 27x - 28

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2