Question

How to solve this?!?!? (5x+24)(9x+12) + (3x+9)(8x+6)(2x+7)

Answer 1

`\rm \displaystyle {48x}^(3) + 393 {x}^(2) +1014x + 660`

Explanation:

we would like to simplify the following:

`\rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)`

there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as

`\rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}`

let's figure out FOIL-1 part

By FOIL we obtain:

`\displaystyle {45x}^(2) + 60x + 216x + 288`

simplify addition:

`\displaystyle {45x}^(2) + 276x+ 288`

let's figure out FOIL-2:

By FOIL and PEMDAS we acquire:

`\rm \displaystyle {48x}^(3 ) + {348x}^(2) + 738x + 378`

finally the whole part

`\rm \displaystyle {45x}^(2) + 60x + 216x + 288+ {48x}^(3 ) + {348x}^(2) + 738x + 378`

combine like terms:

`\rm \displaystyle {48x}^(3) + 393 {x}^(2) +1014x + 660`

and we are done!

Answer 2

Answer and Step-by-step explanation:

First, multiply the parentheses, then add everything together.

-- (5x + 24)(9x + 12)

-- 45
`x^2\\` + 60x + 216x + 288 (Simplify)

-- 45
`x^2\\` + 276x + 288

--- (3x + 9)(8x + 6)

--- 24
`x^2\\` + 18x + 72x + 54 (Simplify)

--- 24
`x^2\\` + 90x + 54

---- (2x + 7)(24
`x^2\\` + 90x + 54)

---- 48
`x^(3)` + 180
`x^2\\` + 108x + 168
`x^2\\` + 630x + 378 (Simplify)

---- 48
`x^(3)` + 348
`x^2\\` + 738x + 378

----- 45
`x^2\\` + 276x + 288 + 48
`x^(3)` + 348
`x^2\\` + 738x + 378

----- 48
`x^(3)` + 393
`x^2\\` + 1014x + 666

48
`x^(3)` + 393
`x^2\\` + 1014x + 666 is the final answer.

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