x^2+24x+144=(x)^2+2× 12× x+12^2 which is of the form a^2+2ab+b^2=(a+b)^2 #160; #160; #160; #160; #160; #160; #160; #160; # ...

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Byju's Answer

Standard XII

Mathematics

Dot Product of Two Vectors

Solve x2+24...

Question

Solve $\frac{x^{2} + 24 x + 144}{x + 12}$

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Solution

$x^{2} + 24 x + 144 = {(x)}^{2} + 2 \times 12 \times x + 12^{2}$ which is of the form $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$
$= {(x + 12)}^{2}$
Now $\frac{x^{2} + 12 x + 144}{x + 12} = \frac{{(x + 12)}^{2}}{x + 12} = x + 12$

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Solve x2+24x+144x+12

x2+24x+144=(x)2+2×12×x+122 which is of the form a2+2ab+b2=(a+b)2 =(x+12)2Now x2+12x+144x+12=(x+12)2x+12=x+12

Solve $\frac{x^{2} + 24 x + 144}{x + 12}$

$x^{2} + 24 x + 144 = {(x)}^{2} + 2 \times 12 \times x + 12^{2}$ which is of the form $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$
$= {(x + 12)}^{2}$
Now $\frac{x^{2} + 12 x + 144}{x + 12} = \frac{{(x + 12)}^{2}}{x + 12} = x + 12$