The product of x2-4-x-1 and 2x-2-x-2 is

The correct option is C 2x+4 Consider the polynomial, #10; #10; #160; #10; #10; x^2 4x+1 #10;and 2x+2x 2 #10; #10; #160; # ...

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Byju's Answer

Standard IX

Mathematics

Addition and Subtraction of Polynomials

The product o...

Question

The product of $\frac{x^{2} - 4}{x + 1}$ and $\frac{2 x + 2}{x - 2}$ is

2 x - 4

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2 x + 4

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Solution

The correct option is C $2 x + 4$
Consider the polynomial,

$\frac{x^{2} - 4}{x + 1}$ and $\frac{2 x + 2}{x - 2}$

Now, product of $\frac{x^{2} - 4}{x + 1}$ and $\frac{2 x + 2}{x - 2}$ is

$\Rightarrow (\frac{x^{2} - 4}{x + 1}) \times (\frac{2 x + 2}{x - 2})$

$\Rightarrow \frac{(x - 2) (x + 2)}{x + 1} \times 2 \frac{(x + 1)}{(x - 2)}$

$\Rightarrow \frac{(x + 2)}{1} \times 2 \frac{1}{1}$

$\Rightarrow 2 (x + 2)$

$\Rightarrow 2 x + 4$

Hence this is the answer.

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Similar questions

\frac{x^{2} - 2 x + 1}{x - 1} \times \frac{2 x - 4}{x^{2} - 3 x + 2}

= ?

Q. Solve the following equations.

x^{2} \cdot 2^{x + 1} + 2^{| x - 3 | + 2} = x^{2} \cdot 2^{| x - 3 | + 4} + 2^{x - 1}

Q. FInd

x

for which

∣ ∣ ∣ \frac{x^{2} - 2 x + 1}{x^{2} - 4 x + 4} ∣ ∣ ∣ + ∣ ∣ ∣ \frac{x - 1}{x - 2} ∣ ∣ ∣ - 12 < 0

\int {\sqrt{2 x^{2} - 3 x + 1}}_{d x}

will be equal to -

Write the discriminant of the following quadratic equations:
(i) $2 x^{2} - 5 x + 3 = 0$ (ii) $x^{2} + 2 x + 4 = 0$
(iii) $(x - 1) (2 x - 1) = 0$ (iv) $x^{2} - 2 x + k = 0, k ϵ R$
(v) $\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$ (vi) $x^{2} - x + 1 = 0$

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The product of x2−4x+1 and 2x+2x−2 is

The correct option is C 2x+4Consider the polynomial, x2−4x+1 and 2x+2x−2 Now, product of x2−4x+1 and 2x+2x−2 is ⇒ (x2−4x+1)×(2x+2x−2) ⇒(x−2)(x+2)x+1×2(x+1)(x−2) ⇒(x+2)1×211 ⇒2(x+2) ⇒2x+4 Hence this is the answer.

The product of $\frac{x^{2} - 4}{x + 1}$ and $\frac{2 x + 2}{x - 2}$ is