Question
Simplify the expression
Solution
8x2+98304x10?+2064384x8?+737280x9?+4128768x7?+6684672x6?+4718592x5?
Evaluate
8x2+12x?×4(4x2+8x)×4x(2x+3)×8x(x+4)×8x(x2+4)
Rewrite the expression in exponential form
8x2+12x4?×4(4x2+8x)×4(2x+3)×8(x+4)×8(x2+4)
Multiply the terms
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Multiply the terms
12x4?×4(4x2+8x)×4(2x+3)×8(x+4)×8(x2+4)
Multiply the terms
More Steps

Evaluate
12×4×4×8×8
Multiply the terms
48×4×8×8
Multiply the terms
192×8×8
Multiply the terms
1536×8
Multiply the numbers
12288
12288x4?(4x2+8x)(2x+3)(x+4)(x2+4)
8x2+12288x4?(4x2+8x)(2x+3)(x+4)(x2+4)
Solution
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Calculate
12288x4?(4x2+8x)(2x+3)(x+4)(x2+4)
Simplify
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Evaluate
12288x4?(4x2+8x)
Apply the distributive property
12288x4?×4x2+12288x4?×8x
Multiply the terms
49152x6?+12288x4?×8x
Multiply the terms
49152x6?+98304x5?
(49152x6?+98304x5?)(2x+3)(x+4)(x2+4)
Simplify
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Evaluate
(49152x6?+98304x5?)(2x+3)
Apply the distributive property
49152x6?×2x+49152x6?×3+98304x5?×2x+98304x5?×3
Multiply the terms
98304x7?+49152x6?×3+98304x5?×2x+98304x5?×3
Multiply the numbers
98304x7?+147456x6?+98304x5?×2x+98304x5?×3
Multiply the terms
98304x7?+147456x6?+196608x6?+98304x5?×3
Multiply the numbers
98304x7?+147456x6?+196608x6?+294912x5?
Add the terms
98304x7?+344064x6?+294912x5?
(98304x7?+344064x6?+294912x5?)(x+4)(x2+4)
Simplify
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Evaluate
(98304x7?+344064x6?+294912x5?)(x+4)
Apply the distributive property
98304x7?x+98304x7?×4+344064x6?x+344064x6?×4+294912x5?x+294912x5?×4
Multiply the terms
98304x8?+98304x7?×4+344064x6?x+344064x6?×4+294912x5?x+294912x5?×4
Multiply the numbers
98304x8?+393216x7?+344064x6?x+344064x6?×4+294912x5?x+294912x5?×4
Multiply the terms
98304x8?+393216x7?+344064x7?+344064x6?×4+294912x5?x+294912x5?×4
Multiply the numbers
98304x8?+393216x7?+344064x7?+1376256x6?+294912x5?x+294912x5?×4
Multiply the terms
98304x8?+393216x7?+344064x7?+1376256x6?+294912x6?+294912x5?×4
Multiply the numbers
98304x8?+393216x7?+344064x7?+1376256x6?+294912x6?+1179648x5?
Add the terms
98304x8?+737280x7?+1376256x6?+294912x6?+1179648x5?
Add the terms
98304x8?+737280x7?+1671168x6?+1179648x5?
(98304x8?+737280x7?+1671168x6?+1179648x5?)(x2+4)
Apply the distributive property
98304x8?x2+98304x8?×4+737280x7?x2+737280x7?×4+1671168x6?x2+1671168x6?×4+1179648x5?x2+1179648x5?×4
Multiply the terms
More Steps

Evaluate
x8×x2
Use the product rule an×am=an+m to simplify the expression
x8+2
Add the numbers
x10
98304x10?+98304x8?×4+737280x7?x2+737280x7?×4+1671168x6?x2+1671168x6?×4+1179648x5?x2+1179648x5?×4
Multiply the numbers
98304x10?+393216x8?+737280x7?x2+737280x7?×4+1671168x6?x2+1671168x6?×4+1179648x5?x2+1179648x5?×4
Multiply the terms
More Steps

Evaluate
x7×x2
Use the product rule an×am=an+m to simplify the expression
x7+2
Add the numbers
x9
98304x10?+393216x8?+737280x9?+737280x7?×4+1671168x6?x2+1671168x6?×4+1179648x5?x2+1179648x5?×4
Multiply the numbers
98304x10?+393216x8?+737280x9?+2949120x7?+1671168x6?x2+1671168x6?×4+1179648x5?x2+1179648x5?×4
Multiply the terms
More Steps

Evaluate
x6×x2
Use the product rule an×am=an+m to simplify the expression
x6+2
Add the numbers
x8
98304x10?+393216x8?+737280x9?+2949120x7?+1671168x8?+1671168x6?×4+1179648x5?x2+1179648x5?×4
Multiply the numbers
98304x10?+393216x8?+737280x9?+2949120x7?+1671168x8?+6684672x6?+1179648x5?x2+1179648x5?×4
Multiply the terms
More Steps

Evaluate
x5×x2
Use the product rule an×am=an+m to simplify the expression
x5+2
Add the numbers
x7
98304x10?+393216x8?+737280x9?+2949120x7?+1671168x8?+6684672x6?+1179648x7?+1179648x5?×4
Multiply the numbers
98304x10?+393216x8?+737280x9?+2949120x7?+1671168x8?+6684672x6?+1179648x7?+4718592x5?
Add the terms
More Steps

Evaluate
393216x8?+1671168x8?
Collect like terms by calculating the sum or difference of their coefficients
(393216+1671168)x8?
Add the numbers
2064384x8?
98304x10?+2064384x8?+737280x9?+2949120x7?+6684672x6?+1179648x7?+4718592x5?
Add the terms
More Steps

Evaluate
2949120x7?+1179648x7?
Collect like terms by calculating the sum or difference of their coefficients
(2949120+1179648)x7?
Add the numbers
4128768x7?
98304x10?+2064384x8?+737280x9?+4128768x7?+6684672x6?+4718592x5?
8x2+98304x10?+2064384x8?+737280x9?+4128768x7?+6684672x6?+4718592x5?
Show Solution
Factor the expression
Factor
8x2(1+12288x8?+258048x6?+92160x7?+516096x5?+835584x4?+589824x3?)
Evaluate
8x2+12x?×4(4x2+8x)×4x(2x+3)×8x(x+4)×8x(x2+4)
Multiply
More Steps

Evaluate
12x?×4(4x2+8x)×4x(2x+3)×8x(x+4)×8x(x2+4)
Multiply the terms
More Steps

Evaluate
12×4×4×8×8
Multiply the terms
48×4×8×8
Multiply the terms
192×8×8
Multiply the terms
1536×8
Multiply the numbers
12288
12288x?(4x2+8x)x(2x+3)x(x+4)x(x2+4)
Multiply the terms with the same base by adding their exponents
12288x1+1+1+1?(4x2+8x)(2x+3)(x+4)(x2+4)
Add the numbers
12288x4?(4x2+8x)(2x+3)(x+4)(x2+4)
8x2+12288x4?(4x2+8x)(2x+3)(x+4)(x2+4)
Rewrite the expression
8x2+8x2×6144x2?(x2+2x)(2x+3)(x+4)(x2+4)
Factor out 8x2 from the expression
8x2(1+6144x2?(x2+2x)(2x+3)(x+4)(x2+4))
Solution
8x2(1+12288x8?+258048x6?+92160x7?+516096x5?+835584x4?+589824x3?)
Show Solution