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Simplification of an Expression

Solve using i...

Question

Solve using identity
${(x + y)}^{2} = x^{2} + 2 x y + y^{2}$
${(3 p + 5)}^{2}$

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Solution

${(3 p + 5)}^{2}$ By using ${(x + y)}^{2} = x^{2} + 2 x y + y^{2}$

$= {(3 p)}^{2} + 2 \times 3 p \times 5 + 5^{2}$

$= 9 p^{2} + 30 p + 25$

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Similar questions

Q. Prove the identity:

x^{2} + y^{2} = (x + y)^{2} - 2 x y

.

Q. Geometrically verify the identity:

(x + y)^{2} = x^{2} + y^{2} + 2 x y

x

{\begin{matrix} x^{2} + 2 x y + y^{2} = 64 y - x = 12 \end{matrix}

x^{2} - 2 x y + y^{2} - 2^{2}

(2 x + 4 y)^{2}

using algebraic identity.

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Simplification of an Expression

Standard VIII Mathematics

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