What is the factorization of the expression below? 16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)

B

Step-by-step explanation:

16 x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

16x² - 49

= (4x)² - 7²

= (4x + 7)(4x - 7) → B

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.