Question

100-49x^2y^2 factorize ​

Answer 1

Theroy: A difference of two perfect squares, A^2 - B^2 can be factored into (A+B) • (A-B)

proof: (A+B) • (A-B) = A^2- AB + BA - B^2 = A2 - AB + AB - B2 = A^2 - B^2

Note: - AB + AB equals zero and is therefore eliminated from the expression.

Check: 100 is the square of 19

Check: 49 is the square of 7

Check: x^2 is the square of x^1

Factorization is : (10 + 7x) • (10-7x)

Final result: (7x + 10) • (10- 7x)