The solution to the expansion of each polynomial is;
1. (x + 9)(x² - 9x + 81) = x³ + 729
2. (y² - 7)(y⁴ - 7y² + 49) = y⁶ − 14y⁴ + 98y² - 343
3. (x² - 5)(x⁴ + 5x² + 25) = x⁶ - 125
4. (8x - 9y)(64x² + 72xy + 81y²) = 512x³ - 729y³
5. (10m - 11) (100m² + 110m + 121) = 1000m³ - 1331
How to expand polynomials?
1) We want to expand the polynomial;
(x + 9)(x² - 9x + 81)
= x³ + 729
2) We want to expand the polynomial;
(y² - 7)(y⁴ - 7y² + 49)
Multiplying out gives;
y⁶ −7y⁴ + 49y² −7y⁴ + 49y² - 343
Combining like terms gives;
y⁶ − 14y⁴ + 98y² - 343
3) We want to expand the polynomial;
(x² - 5)(x⁴ + 5x² + 25)
Multiplying out gives;
x⁶ - 125
4) We want to expand the polynomial;
(8x - 9y)(64x² + 72xy + 81y²)
Multiplying out gives;
512x³ - 729y³
5) We want to expand the polynomial;
(10m - 11)(100m² + 110m + 121)
Multiplying out gives;
1000m³ - 1331
Read more about Expanding Polynomials at; https://brainly.com/question/24492376
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