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Fill in the blank $(x+a)(x+b)=x^2$+______ $x+a b$
To do: Fill in the blanks
Solution:
$(x + a) (x + b)$
Multiply each and every term inside the brackets,
$x \times x = x^2$
$x \times a = a x$
$x \times b = b x$
$a \times b = a b$
add all,
$x ^2 + a x + b x + ab$
$ x^2 + (a+b)x + ab$ [$ax + bx = [a+b]x$ ; take $x$ as common]
$(x + a) (x + b) = x^2 + (a+b)x + ab$
So, $(a+b)$ will be filled in the bank.
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