Solve (sqrt (x-10) -4)*(sqrt (x-10) 4)

Question

Simplify the expression

4 s^{2} q^{2} r^{2} t^{2} x^{2} - 80 s^{2} q^{2} r^{2} t^{2} x + 400 s^{2} q^{2} r^{2} t^{2} - 16 s q r t x + 160 s q r t

Evaluate

(s q r t (x - 10) - 4) (s q r t (x - 10) \times 4)

Remove the parentheses

(s q r t (x - 10) - 4) s q r t (x - 10) \times 4

Expand the expression

More Steps

(s q r t x - 10 s q r t - 4) s q r t (x - 10) \times 4

Use the commutative property to reorder the terms

(s q r t x - 10 s q r t - 4) \times 4 s q r t (x - 10)

Multiply the first two terms

4 s q r t (s q r t x - 10 s q r t - 4) (x - 10)

Multiply the terms

More Steps

(4 s^{2} q^{2} r^{2} t^{2} x - 40 s^{2} q^{2} r^{2} t^{2} - 16 s q r t) (x - 10)

Apply the distributive property

4 s^{2} q^{2} r^{2} t^{2} x \times x - 4 s^{2} q^{2} r^{2} t^{2} x \times 10 - 40 s^{2} q^{2} r^{2} t^{2} x - (- 40 s^{2} q^{2} r^{2} t^{2} \times 10) - 16 s q r t x - (- 16 s q r t \times 10)

Multiply the terms

4 s^{2} q^{2} r^{2} t^{2} x^{2} - 4 s^{2} q^{2} r^{2} t^{2} x \times 10 - 40 s^{2} q^{2} r^{2} t^{2} x - (- 40 s^{2} q^{2} r^{2} t^{2} \times 10) - 16 s q r t x - (- 16 s q r t \times 10)

Multiply the numbers

4 s^{2} q^{2} r^{2} t^{2} x^{2} - 40 s^{2} q^{2} r^{2} t^{2} x - 40 s^{2} q^{2} r^{2} t^{2} x - (- 40 s^{2} q^{2} r^{2} t^{2} \times 10) - 16 s q r t x - (- 16 s q r t \times 10)

Multiply the numbers

4 s^{2} q^{2} r^{2} t^{2} x^{2} - 40 s^{2} q^{2} r^{2} t^{2} x - 40 s^{2} q^{2} r^{2} t^{2} x - (- 400 s^{2} q^{2} r^{2} t^{2}) - 16 s q r t x - (- 16 s q r t \times 10)

Multiply the numbers

4 s^{2} q^{2} r^{2} t^{2} x^{2} - 40 s^{2} q^{2} r^{2} t^{2} x - 40 s^{2} q^{2} r^{2} t^{2} x - (- 400 s^{2} q^{2} r^{2} t^{2}) - 16 s q r t x - (- 160 s q r t)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 s^{2} q^{2} r^{2} t^{2} x^{2} - 40 s^{2} q^{2} r^{2} t^{2} x - 40 s^{2} q^{2} r^{2} t^{2} x + 400 s^{2} q^{2} r^{2} t^{2} - 16 s q r t x + 160 s q r t

Solution

More Steps

4 s^{2} q^{2} r^{2} t^{2} x^{2} - 80 s^{2} q^{2} r^{2} t^{2} x + 400 s^{2} q^{2} r^{2} t^{2} - 16 s q r t x + 160 s q r t

Show Solution