Step-by-step Solution

Solve the product $\left(x+2\right)\left(x+4\right)$

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Step-by-step explanation

Problem to solve:

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

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

$x\cdot x+4x+2x+2\cdot 4$

Unlock this full step-by-step solution!

Learn how to solve special products problems step by step online. Solve the product (x+2)(x+4). We can multiply the polynomials \left(x+2\right)\left(x+4\right) by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First (F\times F), Outer by Outer (O\times O), Inner by Inner (I\times I), Last by Last (L\times L):<ul><li>(F\times F) is (x)(x)</li><li>(O\times O) is (x)(4)</li><li>(I\times I) is (2)(x)</li><li>(L\times L) is (2)(4)</li></ul><p class='exp-text'>Then, combine the four terms in a sum: (F\times F) + (O\times O) + (I\times I) + (L\times L):</p>. Multiply 2 times 4. When multiplying two powers that have the same base (x), you can add the exponents. Combining like terms 4x and 2x.

Final Answer

$x^2+6x+8$
$\left(x+2\right)\left(x+4\right)$

Main topic:

Special products

Time to solve it:

~ 0.04 s (SnapXam)