simplify (2x + 3) ( 2x - 5) using identity
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Given :–
Required :–
Solution :–
We know that,
Identity :- (x + a)(x + b) = x² + (a + b)x + ab
Here,
The value of x, a and b are:
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:
Identity:(x+a) (x+b)
=x²+(a+b)x+ab
So, =(2x)²+(3-5)2x+(3)(-5)
=4x²-4x-15