A2-2 a b-4 b2 a perfect square trinomialA- 3B- 2

The correct option is B 2 (a^2 + 2ab + 4b^2 = (a)^2 + a × 2b + (2b) ^2 = x^2 + xy + y^2 ( taking x = a and y = 2b) Since given trinomial cannot be expres ...

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Standard VIII

Mathematics

Algebraic Identities

a2+2 a b+4 b2...

Question

$a^{2} + 2 a b + 4 b^{2}$ a perfect square trinomial

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Solution

The correct option is B
2

$(a^{2} + 2 a b + 4 b^{2}$ = $(a)^{2} + a \times 2 b + (2 b)^{2}$

= $x^{2} + x y + y^{2}$ ( $taking$ $x = a and y = 2 b$ )

Since given trinomial cannot be expressed as $x^{2} + 2 x y + y^{2}$ , it is not a perfect square trinomial

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a2+2ab+4b2 a perfect square trinomial

The correct option is B 2 (a2+2ab+4b2 = (a)2+a×2b+(2b)2 = x2+xy+y2 ( taking x=a and y=2b) Since given trinomial cannot be expressed as x2+2xy+y2 , it is not a perfect square trinomial

$a^{2} + 2 a b + 4 b^{2}$ a perfect square trinomial

The correct option is B
2

$(a^{2} + 2 a b + 4 b^{2}$ = $(a)^{2} + a \times 2 b + (2 b)^{2}$

= $x^{2} + x y + y^{2}$ ( $taking$ $x = a and y = 2 b$ )

Since given trinomial cannot be expressed as $x^{2} + 2 x y + y^{2}$ , it is not a perfect square trinomial