🎴 Flashcard Mode
Algebraic Expressions and Arithmetic - Class VII
Card1 / 26
Mastered0
Review0
QuestionClick to flip
State whether True or False.
Simplify: $(3y+4z)(3y-4z)+(2y+7z)(y+z) $.
The answer is $11y^2+9yz-9z^2$.
AnswerClick to flip back
A
True
💡 Explanation:
$Multiplying\quad (3y+4z)(3y-4z),\quad (2y+7z)(y+z),\ =-16z^{ 2 }+12yz-12yz+9y^{ 2 }\quad +\quad 7z^{ 2 }+7yz+2yz+2y^{ 2 }\ =-9z^{ 2 }+9yz+11y^{ 2 }$