Question

(2x+3)×(x-5). plzzz answer
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Answer 1

Answer:

hi mate, this is your answer

Step-by-step explanation:

2x-3=5x

-3=5x-2x

-3=3x=-1

hope it helped

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Answer 2

First Possible Question

Simplify (2x + 3) × (x - 5)

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Answer

(2x + 3) × (x - 5)

Here we need to multiply the binomial to another binomial.

⇒ (2x + 3)(x - 5)

We will first simplify it in an easier way to solve.

⇒ (2x + 3)(x - 5)

⇒ 2x (x - 5) + 3 (x - 5)

⇒ 2x (x) - 2x (5) + 3 (x) - 5 (3)

⇒ 2x² - 10x + 3x - 15

Now combine Like Terms and solve to obtain final answer.

⇒ 2x² - 10x + 3x - 15

⇒ 2x² (- 10x + 3x) - 15

⇒ 2x² - 7x - 15

∴ (2x + 3)(x - 5) = 2x² - 7x - 15

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Second Possible Question

Find the value of 'x' in the equation ⇒ (2x + 3)(x - 5) = 0

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Answer

Let's solve your equation step-by-step.

(2x + 3)(x - 5) = 0

Step 1: Simplify the equation.

⇒ (2x + 3)(x - 5) = 0

⇒ 2x (x - 5) + 3 (x - 5) = 0

⇒ 2x (x) - 2x (5) + 3 (x) - 5 (3) = 0

⇒ 2x² - 10x + 3x - 15 = 0

⇒ 2x² - 7x - 15 = 0

Step 2: Factor left side of equation.

⇒ (2x + 3)(x - 5) = 0

Step 3: Set factors equal to 0.

⇒ 2x + 3 = 0 or x - 5 = 0

⇒ 2x = -3 or x = 5

⇒ x = ⁻³/₂ or x = 5

$\bf \therefore x = \frac{-3}{2} \ or \ x = 5\ in \ the \ equation \ (2x+3)(x-5)$

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Additional Information

Algebraic Expression consists of variables and constant without an equal sign.

Constants are values with fixed values whereas variables are values whose values may vary.

To make it easy to solve algebraic expressions we have 4 main identities. They are listed below.

Algebraic Identities

• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
• (a + b)(a - b) = a² - b²
• (x + a)(x + b) = x² + (a + b)x + ab

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