1.

The value of \(\frac{{{{\left( {0.150 + 0.225} \right)}^2} - {{\left( {0.150 - 0.225} \right)}^2}\;}}{{0.150 \times 0.225}}\)1). 22). 43). 0.2304). 0.285

Answer»

The Given expression,

⇒ $(? = \FRAC{{{{\left( {0.150 + 0.225} \right)}^2} - {{\left( {0.150 - 0.225} \right)}^2}\;}}{{0.150 \times 0.225}})$

USING,

(A + B)2 = A2 + 2AB + B2

(A - B)2 = A2 - 2AB + B2

⇒ $(? = \frac{{{{0.150}^2} + 2 \times 0.150 \times 0.225 + {{0.225}^2} - {{0.150}^2} + 2 \times 0.150 \times 0.225 - {{0.225}^2}}}{{0.150 \times 0.225}})$

⇒ $(? = \frac{{4 \times 0.150 \times 0.225}}{{0.150 \times 0.225}})$

∴ ? = 4


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