Question

16 whole square+21whole square-13whole square+?=25whole square​

Answer 1

Answer:

? = 97

Step-by-step explanation:

Let the unknown value be "x"

Given:

16² + 21² - 13² + x = 25²

(16² - 13²) + 21² + x = 25²

(16+13)(16-13) + 21² + x = 25²

(29)(3) + 21² + x = 25²

87 + 21² + x = 25²

x = 25² - 21² - 87

x = (25+21)(25 - 21) - 87

x = (46)(4) - 87

x = 184 - 87

x = 97

In the above, we have used a² - b² = (a+b)(a-b) for simplicity. We can directly get the value of x, as:

16² + 21² - 13² + x = 25²

x = 25² - 16² - 21² + 13²

x = 625 - 256 - 441 + 169

x = 97

The unknown value (?) = 97