Question

How do you factor the expression c2+28c+196?

Answer 1

Answer : (c + 14)^2

Step by step explanation :

$c {}^{2} + 28c + 196$

Write the expression 28c as a product with the factors c and 14

$= > c {}^{2} + 2 \times c \times 14 + 196$

Write the number 196 in exponential form with an exponent of 2.

$= > c {}^{2} + 2 \times c \times 14 + 14 {}^{2}$

Using

$a {}^{2} + 2ab + b {}^{2} = (a + b) {}^{2}$, factor the expression.

$= > (c + 14) {}^{2}$