Question

In terms of x, what is the length of the side of a square whose area is represented by the expression 25x^2 + 40x + 16?​

Answer 1

Explanation:

25x2 − 40x + 16 = (5x)² - 2*5*4 + 4² { (a - b)² = a² - 2ab + b² }

= (5x - 4)² { here a = 50 and b = 4}

Side of the square = 5x - 4 units

Part B:

25x2 − 16y2 = (5x)² - (4y)² { a² - b² = (a + b) * (a - b) }

= (5x + 4y) * (5x - 4y) { here a = 5x and b = 4y}

Dimensions of Rectangle: (5x + 4y) ; (5x - 4y)

Answer 2

Explanation:

25x²+40x+16=25x²+20x+20x+16

=5x(5x+4)+4(5x+4)

=(5x+4)(5x+4)

=(5x+4)²

length of side=5x+4