Question

Find the product of (2x -5) (4x + 3)

Answer 1

Step-by-step explanation:

it's your answer

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Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

We have to find product of the two term

How to solve :

1. Firstly open the first brackets.
2. Then Multiply the each value with the each value to the second brackets.
3. Expanding the terms and make like terms together.
4. Evaluate the term and simply it .

➾(2x-5)(4x+3)

opening the brackets=>

➾2x-5(4x+3)

➾2x(4x+3)-5(4x+3)

Now, expanding the terms=>

➾2x × 4x +3×2x -5×4x+3×-5

➾8x²+6x-20x-15

Making constant terms together and Variable terms together=>

➾8x²-14x-15( Required answer)✓

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Further solved =>

It is in the form of a quadratic equation so,we simply factorise it .

By using quadratic formula:

a= 8,b= -14 & c= -15

x= -b ± √b²-4ac ÷2

➾x= -(-14)±√(-14)²-4(8)(-15)/2

➾x= 14±√196-(-480)/16

➾x=14±√196+480/16

➾x= 14±√676/16

Here,the discriminant b²-4ac is >0

so,it have two real roots.

➾x= 14±26/16

➾x= 40/16 or x = -12/16

➾x= 2.5 or x= -0.75