Solve ((sqrt(7) * sqrt(6)) - sqrt(13)) * (sqrt(7) * s

Question

Simplify the expression

22932 s^{5} q^{5} r^{5} t^{5} - 7098 s^{4} q^{4} r^{4} t^{4}

Evaluate

((s q r t \times 7 s q r t \times 6) - s q r t \times 13) (s q r t \times 7 s q r t \times 6 s q r t \times 13)

Remove the parentheses

((s q r t \times 7 s q r t \times 6) - s q r t \times 13) s q r t \times 7 s q r t \times 6 s q r t \times 13

Rewrite the expression in exponential form

((s q r t \times 7 s q r t \times 6) - s q r t \times 13) s^{3} q^{3} r^{3} t^{3} \times 7 \times 6 \times 13

Multiply

More Steps

(42 s^{2} q^{2} r^{2} t^{2} - s q r t \times 13) s^{3} q^{3} r^{3} t^{3} \times 7 \times 6 \times 13

Use the commutative property to reorder the terms

(42 s^{2} q^{2} r^{2} t^{2} - 13 s q r t) s^{3} q^{3} r^{3} t^{3} \times 7 \times 6 \times 13

Multiply the terms

More Steps

(42 s^{2} q^{2} r^{2} t^{2} - 13 s q r t) s^{3} q^{3} r^{3} t^{3} \times 546

Use the commutative property to reorder the terms

(42 s^{2} q^{2} r^{2} t^{2} - 13 s q r t) \times 546 s^{3} q^{3} r^{3} t^{3}

Multiply the terms

546 s^{3} q^{3} r^{3} t^{3} (42 s^{2} q^{2} r^{2} t^{2} - 13 s q r t)

Apply the distributive property

546 s^{3} q^{3} r^{3} t^{3} \times 42 s^{2} q^{2} r^{2} t^{2} - 546 s^{3} q^{3} r^{3} t^{3} \times 13 s q r t

Multiply the terms

More Steps

22932 s^{5} q^{5} r^{5} t^{5} - 546 s^{3} q^{3} r^{3} t^{3} \times 13 s q r t

Solution

More Steps

22932 s^{5} q^{5} r^{5} t^{5} - 7098 s^{4} q^{4} r^{4} t^{4}

Show Solution

546 s^{4} q^{4} r^{4} t^{4} (42 s q r t - 13)

Show Solution