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3 years ago

What is the simplified form of this?

Mathematics

1 answer:

katrin [286]3 years ago

7 0

(2x^2-4x-3)(3x+1)
Expand
(2x^2+−4x+−3)(3x+1)
Cross multiply
(2x2)(3x)+(2x^2)(1)+(−4x)(3x)+(−4x)(1)+(−3)(3x)+(−3)(1)
Simplify6x^3+2x^2−12x^2−4x−9x−3
Simplify6x^3−10x^2−13x−3 is your answer

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Find the quotient of these Complex Numbers. (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

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3 years ago

Which three statements describe how to find the product of 5×10^3

Vedmedyk [2.9K]

5x10x1 electrical and electrical equipment for electrical

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3 years ago

Becky has sold 22 candy bars for a fundraiser. Her goal is to sell a total of 45 candy bars. How many more cany bars does Becky

LenKa [72]

45 - 22 = 23

c + 22 = 45
23 + 22 = 45

I hoped this answered the question correctly! Have a great day!!:)

5 0

2 years ago

Read 2 more answers

Determine the GCF of the coefficients.

viktelen [127]

A is correct = greatest.

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2 years ago

Donna made $396 for 18 hours of work.

amm1812

Answer:

$286

Step-by-step explanation:

396/18 = $22 per hr x 13 hrs = $286

Plz give Brainliest

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3 years ago