Find the value of 5 a-1-55 a-1-5-

The correct option is D 25a^2 2a+1/25(5a 1/5)(5a 1/5) =(5a 1/5)^2 Using identity nbsp;(a b)^2=a^2 2ab+b^2, (5a 1/5)^2=(5a)^2 2×5a×1/5+(1/5)^2 nbsp; n ...

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Byju's Answer

Standard VII

Mathematics

(a-b)^2 Expansion and Visualisation

Find the valu...

Question

Find the value of $(5 a - \frac{1}{5}) (5 a - \frac{1}{5})$ .

25 a^{2} - 25 + \frac{1}{25}

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25 a^{2} - 2 + \frac{1}{25}

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25 a^{2} - 2 a + \frac{1}{5}

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25 a^{2} - 2 a + \frac{1}{25}

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Solution

The correct option is D $25 a^{2} - 2 a + \frac{1}{25}$
$(5 a - \frac{1}{5}) (5 a - \frac{1}{5})$
= $(5 a - \frac{1}{5})^{2}$
Using identity $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ ,

$(5 a - \frac{1}{5})^{2}$ = $(5 a)^{2} - 2 \times 5 a \times \frac{1}{5} + (\frac{1}{5})^{2}$
= $25 a^{2} - 2 a + \frac{1}{25}$

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Find the value of (5a−15)(5a−15).

The correct option is D 25a2−2a+125(5a−15)(5a−15) =(5a−15)2 Using identity (a−b)2=a2−2ab+b2, (5a−15)2=(5a)2−2×5a×15+(15)2 =25a2−2a+125

Find the value of $(5 a - \frac{1}{5}) (5 a - \frac{1}{5})$ .