Mathematics
Simplify:
(3y + 4z) (3y - 4z) + (2y + 7z) (y + z)
Algebraic Expressions
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Answer
(3y + 4z) (3y - 4z) + (2y + 7z) (y + z)
= [3y(3y - 4z) + 4z(3y - 4z)] + [2y (y + z) + 7z (y + z)]
= [9y2 - 12yz + 12yz - 16z2] + [2y2 + 2yz + 7zy + 7z2]
= 9y2 - 16z2 + 2y2 + 9zy + 7z2
= 9y2 + 2y2 + 9zy - 16z2 + 7z2
= 11y2 + 9yz - 9z2
Hence, (3y + 4z) (3y - 4z) + (2y + 7z) (y + z) = 11y2 + 9yz - 9z2
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