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Algebraic Identities — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsAlgebraic Identities2 Marks
Question
Write the following in the expanded form:
$(x+2 y+4 z)^2$
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Answer

We have,
$(x+2 y+4 z)^2=x^2+(2 y)^2+(4 z)^2+2 x \times 2 y+2 \times 2 y \times 4 z+2 x \times 4 z\left[\therefore(x+y+z)^2=x^2+y^2+z^2+2 x y+2 y z+2 x z\right]$
$(x+2 y+4 z)^2=x^2+4 y^2+16 z^2+4 x y+16 y z+8 x z$

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