4. In the exit slip, Brady got everything wrong. He needed to factor

x2 - 10x + 25 and 16x2 - 9. This is his work.

x2 - 10x + 25 = x2 - 10x + 52

= x2 - 2 (x) (5) + 52

= (x + 5) (x - 5)

16c2 - 9 = (40) 2 - (3) 2

= (40 - 3) 2

Identify the error (s) in planning the solution or solving the problem. Write

the correct solution.

vo

r

of choice to

S

(1) The error is in third step.

The correct solution is (x-5) ²

(2) The error is in third step.

The correct solution is (4c+3) (4c-c)

Step-by-step explanation:

(a-b) whole square is the sum square of a and b and subtraction of product of 2, a and b.

(a-b) = a²+b²-2ab

Therefore,

x²-10x+25

=x²-2. x. 5+5²

= (x-5) ²

The error is in third step.

The correct solution is (x-5) ²

The subtraction of square of b from square a is the product of sum of a and b and the subtraction a from b.

(a²-b²) = (a+b) (a-b)

16c²-9

= (4c) ²-3²

= (4c+3) (4c-c)

The error is in third step.

The correct solution is (4c+3) (4c-c)