Simplify-2 m -52-40 mA- m -52B- m -52C- 2 m -52D- m 2-25

The correct option is C (2m + 5)^2Given, the expression is nbsp; (2m 5)^2 + 40m. Using identity: (a b)^2 = a^2 2ab + b^2,we get, (2m)^2 20m + (5)^2 + ...

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Byju's Answer

Standard VIII

Mathematics

Factorisation Using Algebraic Identities

Simplify:2 m ...

Question

Simplify:
$(2 m - 5)^{2} + 40 m$

(m - 5)^{2}

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(m + 5)^{2}

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(2 m + 5)^{2}

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m^{2} - 25

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Solution

The correct option is C $(2 m + 5)^{2}$
Given, the expression is
$(2 m - 5)^{2} + 40 m .$
Using identity: $(a - b)^{2} = a^{2} - 2 a b + b^{2}, we get,$
$(2 m)^{2} - 20 m + (5)^{2} + 40 m$
$= (2 m)^{2} + 20 m + (5)^{2}$
$= (2 m)^{2} + 2 (2 m) (5) + (5)^{2}$
Using the identity:
$[(a + b)^{2} = a^{2} + 2 a b + b^{2}]$
$= (2 m + 5)^{2}$

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Simplify: (2m−5)2+40m

The correct option is C (2m+5)2Given, the expression is (2m−5)2+40m. Using identity: (a−b)2=a2−2ab+b2,we get, (2m)2−20m+(5)2+40m =(2m)2+20m+(5)2 =(2m)2+2(2m)(5)+(5)2 Using the identity: [(a+b)2=a2+2ab+b2] =(2m+5)2

Simplify:
$(2 m - 5)^{2} + 40 m$