Step-by-step Solution

Expand the expression $\left(1+2x\right)^2$

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Step-by-step explanation

Problem to solve:

$\left(1+2x\right)^2$

Learn how to solve special products problems step by step online.

$1^2+2\cdot 1\cdot 2x+\left(2x\right)^2$

Unlock this full step-by-step solution!

Learn how to solve special products problems step by step online. Expand the expression (1+2x)^2. A binomial squared (sum) is equal to the square of the first term, plus the double product of the first by the second, plus the square of the second term. In other words: (a+b)^2=a^2+2ab+b^2<ul><li>Square of the first term: \left(1\right)^2 = 1^2</li><li>Double product of the first by the second: 2\left(1\right)\left(2x\right) = 2\cdot 12x</li><li>Square of the second term: \left(2x\right)^2 = \left(2x\right)^2</li></ul>. Multiply 2 times 1. Multiply 2 times 2. Calculate the power 1^2.

Final Answer

$1+4x+4x^2$
$\left(1+2x\right)^2$

Main topic:

Special products

Time to solve it:

~ 0.04 s (SnapXam)