What is factor (15+7)^3(15-7)^3 ?

The solution to factor (15+7)^3(15-7)^3 is 5451776

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factor (15+7)^3(15-7)^3

factor

(15 + 7)^{3} (15 - 7)^{3}

5451776

Solution steps

(15 + 7)^{3} (15 - 7)^{3}

Add the numbers:

15 + 7 = 22

= 2 2^{3} (15 - 7)^{3}

Subtract the numbers:

15 - 7 = 8

= 2 2^{3} \cdot 8^{3}

Factor integer

22 = 2 \cdot 11

= (2 \cdot 11)^{3} \cdot 8^{3}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

(2 \cdot 11)^{3} = 2^{3} \cdot 1 1^{3}

= 2^{3} \cdot 1 1^{3} \cdot 8^{3}

Factor integer

8 = 2^{3}

= 2^{3} \cdot 1 1^{3} (2^{3})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

(2^{3})^{3} = 2^{3 \cdot 3}

= 2^{3} \cdot 1 1^{3} \cdot 2^{3 \cdot 3}

Refine

= 2^{3} \cdot 1 1^{3} \cdot 2^{9}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{3} \cdot 2^{9} = 2^{3 + 9}

= 1 1^{3} \cdot 2^{3 + 9}

Add the numbers:

3 + 9 = 12

= 1 1^{3} \cdot 2^{12}

1 1^{3} = 1331

= 2^{12} \cdot 1331

2^{12} = 4096

= 1331 \cdot 4096

Multiply the numbers:

1331 \cdot 4096 = 5451776

= 5451776

\frac{x ^{2} - 5 x + 6}{2 x + 6}

\frac{10 + 2 5}{2}

x 2 - 2 x + 8

x yz + 4 x y + x z + 4 x + 2 yz + 8 y + 2 z + 8

a^{2} + 3 ab - 2 a c - 6 b c

What is factor (15+7)^3(15-7)^3 ?
The solution to factor (15+7)^3(15-7)^3 is 5451776