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प्रश्न
Write the following square of binomial as trinomial: \[\left( \frac{2a}{3b} + \frac{2b}{3a} \right)^2\]
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उत्तर
We will use the identities
\[\left( a + b \right)^2 = a^2 + 2ab + b^2 \text { and } \left( a - b \right)^2 = a^2 - 2ab + b^2\] to convert the squares of binomials as trinomials.
\[ \left( \frac{2a}{3b} + \frac{2b}{3a} \right)^2 \]
\[ = \left( \frac{2a}{3b} \right)^2 + 2$\left( \frac{2a}{3b} \right)$\left( \frac{2b}{3a} \right) + \left( \frac{2b}{3a} \right)^2 \]
\[ = \frac{4 a^2}{9 b^2} + \frac{8}{9} + \frac{4 b^2}{9 a^2}\]
संबंधित प्रश्न
Simplify.
(t + s2) (t2 − s)
Simplify.
(x + y) (2x + y) + (x + 2y) (x − y)
Write the following square of binomial as trinomial: \[\left( 9a + \frac{1}{6} \right)^2\]
Write the following square of binomial as trinomial:
\[\left( x + \frac{x^2}{2} \right)^2\]
Write the following square of binomial as trinomial: \[\left( 3x - \frac{1}{3x} \right)^2\]
Write the following square of binomial as trinomial: \[\left( \frac{x}{y} - \frac{y}{x} \right)^2\]
Write the following square of binomial as trinomial: (a2b − bc2)2
Multiply the following:
`- 100/9 rs; 3/4 r^3s^2`
Multiply the following:
`(3/4x - 4/3 y), (2/3x + 3/2y)`
Multiply the following:
`3/2 p^2 + 2/3 q^2, (2p^2 - 3q^2)`
