Simplify (5 x + 2 y) square - (5x-2y)square
Answers
Answered by
0
Answer:
7xy
Step-by-step explanation:
Bhshhshshshdgsbbdsj
Answered by
0
Answer:
(5x+2y)²-(5x-2y)².
(5x+2y)².
It is in the form of (a+b)²=a²+2ab+b².
Where a=5x & b=2y.
(5x+2y)²=(5x)²+2(5x)(2y)+(2y)².
=25x²+20xy+4y².
(5x-2y)².
It is in the form of (a-b)²=a²-2ab+b².
Where a=5x & b=2y.
(5x-2y)²=(5x)²-2(5x)(2y)+(2y)².
=25x²-20xy+4y².
(5x+2y)²-(5x-2y)²=(25x²+20xy+4y²)-(25x²-20xy+4y²).
=25x²+20xy+4y²-25x²+20xy-4y². (Because -×-=+ & -×+=-).
=40xy. (Because +×-=- so, 25x²-25x² & 4y²-4y² will cancel therefore 20xy+20xy=40xy). (Because +×+=+).
I think this is your answer.
Similar questions