Question

multiply 2x+5y and 2x+5y

Answer 1

Answer:

Step-by-step explanation:(a+b)²=a²+2ab+b² ————-(1)

Also,we know that a*a= a² by the use of this

(2x+5y)*(2x+5y)= (2x+5y)²

Place a=2x and b=5y

Now,by use of (1) we get,

(2x+5y)²= (2x)²+2(2x)(5y)+(5y)²

(2x+5y)²= 4x²+20xy+25y²

Hence, it gives the above expression as final.

Answer 2

→Question:

Multiply 2x+5y and 2x+5y

ie, (2x+5y)(2x+5y)

→Solution:

We have a Formula,(a+b)²=a²+2ab+b²

Here in 2x+5y and 2x+5y,it is representing a×a=a²

∵We can write (2x+5y)(2x+5y) as (2x+5y)²

Now,we can use the formula (a+b)²=a²+2ab+b²

⇔Here, a=2x     b=5y

⇒ (2x+5y)²=(2x)²+2(2x)(5y)+(5y)²

⇒4x²+20xy+25y²

∴By multiplying 2x+5y and 2x+5y we get,4x²+20xy+25y²

With the help of,

• (a+b)²=a²+2ab+b²
• (a×a) =a²