Advertisements
Advertisements
Question
Write the following square of binomial as trinomial: (2m + 1)2
Advertisements
Solution
We will use the identities
\[\left( a + b \right)^2 = a^2 + 2ab + b^2 \text { and } \left( a - b \right)^2 = a^2 - 2ab + b^2\] to convert the squares of binomials as trinomials.
\[\left( 2m + 1 \right)^2 \]
\[ = \left( 2m \right)^2 + 2\left( 2m \right)\left( 1 \right) + 1^2 \]
\[ = 4 m^2 + 4m + 1\]
APPEARS IN
RELATED QUESTIONS
Simplify.
(x2 − 5) (x + 5) + 25
Simplify.
(x + y) (2x + y) + (x + 2y) (x − y)
Simplify.
(a + b + c) (a + b − c)
Write the following square of binomial as trinomial: \[\left( 9a + \frac{1}{6} \right)^2\]
Write the following square of binomial as trinomial:
\[\left( x + \frac{x^2}{2} \right)^2\]
Write the following square of binomial as trinomial: \[\left( \frac{x}{4} - \frac{y}{3} \right)\]
Write the following square of binomial as trinomial: (a2b − bc2)2
Write the following square of binomial as trinomial: (x2 − ay)2
Product of 6a2 – 7b + 5ab and 2ab is ______.
Multiply the following:
`(3/4x - 4/3 y), (2/3x + 3/2y)`
