Question

multiply (3x+4y+5z)(4x+3y+4z)​

Answer 1

ANSWER:

12x²+ 25xy +32xz + 12y² + 31yz + 20z²

STEP BY STEP EXPLANATION:

Divide the first trinomial in terms and multiply each term with with the second trinomial and then add them.

Solution:-

1st step:-

3x (4x+3y+4z) + 4y (4x+3y+4z) + 5z (4x+3y+4z)

2nd step:-

12x²+ 9xy + 12xz + 16xy + 12y² + 16yz + 20xz + 15yz + 20z²

Final answer:-

12x² + 25xy + 32xz + 12y² + 31yz + 20z²

Note:- In second step like terms are to be collected and solved.

The like terms are:-

1. 9xy & 16xy
2. 12xz & 20xz
3. 16yz & 15yz

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