Question

simplify (2x + 3) ( 2x - 5) using identity​

Answer 1

Given :–

• An equation, (2x + 3)(2x – 5).

Required :–

• Simplify the given equation by using identity.

Solution :–

We know that,

Identity :- (x + a)(x + b) = x² + (a + b)x + ab

Here,

The value of x, a and b are:

• x = 2x.
• a = 3
• b = –5

Now, put the given values in the identity.

So,

⟹ (2x)² + [3 + (–5)](2x) + (3)(–5)

Now, solve the brackets.

⟹ 4x² + [3 – 5](2x) + (–15)

⟹ 4x² + (–2)(2x) – 15

After solving the brackets, we get

⟹ 4x² – 4x – 15

Hence,

The answer of the given equation is 4x² – 4x – 15.

Answer 2

Answer:

Identity:(x+a) (x+b)

=x²+(a+b)x+ab

So, =(2x)²+(3-5)2x+(3)(-5)

=4x²-4x-15