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Algebraic Expressions — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSAlgebraic Expressions3 Marks
Question
Multiply: $2 x+\frac{1}{2} y$ and $2 x-\frac{1}{2} y$
✓

Answer

$ \left(2 x+\frac{1}{2} y\right)\left(2 x-\frac{1}{2} y\right)$
$ =2 x\left(2 x-\frac{1}{2} y\right)+\frac{1}{2} y\left(2 x-\frac{1}{2} y\right)$
$ =4 x^2-x y+x y-\frac{1}{4} y^2$
$ =4 x^2-\frac{1}{4} y^2$

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