The correct option is A 4a^2 nbsp; b^2(2a+b)(2a b) =(2a × 2a) (2a × b) + (b × 2a) b × b = 4a^2 nbsp; nbsp; b^2 Hence nbsp;the Algebraic Identit ...

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(a+b)(a-b) Expansion and Visualisation

2 a+b2 a-b=

Question

$(2 a + b) (2 a - b)$ = _________________ .

{4 a}^{2}

b^{2}

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4 a^{2}

2 a b

b^{2}

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4 a^{2}

8 a b

b^{2}

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a^{2}

b^{2}

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Solution

The correct option is A ${4 a}^{2}$ - $b^{2}$
$(2 a + b) (2 a - b)$
= $(2 a \times 2 a) - (2 a \times b) + (b \times 2 a) - b \times b$
= $4 a^{2} - b^{2}$

Hence the Algebraic Identity :
$(a + b) (a - b) = a^{2}$ - $b^{2}$
Answer : = $4 a^{2} - b^{2}$

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= (2 a + b) (2 a + b) (2 a + b)

8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}

= (2 a - b) (2 a - b) (2 a - b)

b

[\begin{matrix} a - b & 2 a + c 2 a - b & 3 c + d \end{matrix}] = [\begin{matrix} - 1 & 5 0 & 13 \end{matrix}]

(a + b) (2 a - 3 b + c) - (2 a - 3 b) c

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