Evaluate the below expression using identities-0-4 p-0-5 q2A- 0-16 p 2-40 pq -0-25 q 2B- 16 p 2-40 pq -25 q 2C- 0-16 p 2-0-40 pq -0-25 q 2D- 1-6 p 2-0-40 pq -2-5 q 2

The correct option is C 0.16p^2 0.40pq+0.25q^2(0.4p 0.5 q)^2 = (0.4p)^2 2× 0.4p× 0.5q+(0.5q)^2 [Using identity ( a b)^2 = a^2 2ab+b^2] =0.16p^2 0.40pq+0. ...

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Standard VIII

Mathematics

Expansion of (x-y)^2

Evaluate the ...

Question

Evaluate the below expression using identities:
$(0.4 p - 0.5 q)^{2}$

0.16 p^{2} - 40 p q + 0.25 q^{2}

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16 p^{2} - 40 p q + 25 q^{2}

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0.16 p^{2} - 0.40 p q + 0.25 q^{2}

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1.6 p^{2} - 0.40 p q + 2.5 q^{2}

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Solution

The correct option is C $0.16 p^{2} - 0.40 p q + 0.25 q^{2}$
$(0.4 p - 0.5 q)^{2} = (0.4 p)^{2} - 2 \times 0.4 p \times 0.5 q + (0.5 q)^{2}$
$[∵ (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= 0.16 p^{2} - 0.40 p q + 0.25 q^{2}$

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Similar questions

The missing figure in the expression

(5p +...)² = ....+ 40 pq + 16 q² are:

Q. Expand using identities:

(0.4 p - 0.5 q)^{2}

Q. Factorise using suitable identity:

16 p^{2} - 8 p q - {25 r}^{2} + q^{2}

Q. Find the following squares by using the identities.

(0.4 p + 0.5 q)^{2}

Question 3(v)
Find the following squares by using identities:
$(0.4 p - 0.5 q)^{2}$

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Evaluate the below expression using identities: (0.4p−0.5q)2

The correct option is C 0.16p2−0.40pq+0.25q2(0.4p−0.5q)2=(0.4p)2−2×0.4p×0.5q+(0.5q)2 [∵(a−b)2=a2−2ab+b2] =0.16p2−0.40pq+0.25q2

Evaluate the below expression using identities:
$(0.4 p - 0.5 q)^{2}$

The correct option is C $0.16 p^{2} - 0.40 p q + 0.25 q^{2}$
$(0.4 p - 0.5 q)^{2} = (0.4 p)^{2} - 2 \times 0.4 p \times 0.5 q + (0.5 q)^{2}$
$[∵ (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= 0.16 p^{2} - 0.40 p q + 0.25 q^{2}$