Given expression is(x+4)^2We know that(a+b)^2= a^2 + 2ab +b^2Here a = x , b = 4⇒(x+4)^2 = x^2 + 2(x)(4) + 4^20ex0ex= x^2 + 8x + 16Hence we get x^2 + 8x + 16 af ...

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Standard VIII

Mathematics

Algebraic Quadratic Identity

Evaluate x+42

Question

Evaluate ${(x + 4)}^{2}$

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Solution

Given expression is
${(x + 4)}^{2}$
We know that
${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$
Here
$a = x, b = 4$
$\Rightarrow {(x + 4)}^{2} = x^{2} + 2 (x) (4) + 4^{2} = x^{2} + 8 x + 16$
Hence we get $x^{2} + 8 x + 16$ after expansion.

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Evaluate (x+4)2

Given expression is(x+4)2We know that(a+b)2=a2+2ab+b2Here a=x,b=4⇒(x+4)2=x2+2(x)(4)+42=x2+8x+16Hence we get x2+8x+16 after expansion.

Evaluate ${(x + 4)}^{2}$

Given expression is
${(x + 4)}^{2}$
We know that
${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$
Here
$a = x, b = 4$
$\Rightarrow {(x + 4)}^{2} = x^{2} + 2 (x) (4) + 4^{2} = x^{2} + 8 x + 16$
Hence we get $x^{2} + 8 x + 16$ after expansion.