78*35+22*35=(78+22)*35

Yes, the equation you provided is correct based on the distributive property of multiplication over addition.

The distributive property states that:

\( a \times (b + c) = (a \times b) + (a \times c) \).

In your equation:

1. You can factor out 35 from both terms: \[ 78 \times 35 + 22 \times 35 = (78 + 22) \times 35 \]

2. This simplifies to: \[ (78 + 22) \times 35 = 100 \times 35 \]

Both sides will yield the same result if you compute it, confirming that the equation holds true!