Verified answer

[tex]\huge\color{pink}{\underline{\overline\color{hotpink}{\sf{ \: \: \: Answer: \: \: \: }}}}[/tex]

[tex]\small\color{pink}⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰[/tex]

[tex]\large\sf {7.)\: (5b - 12)(2b + 9)}[/tex]

• [tex]\sf {(5b - 12)(2b + 9)}[/tex]
• [tex]\sf {5b × 2b + 5b × 9 - 12 × 2b - 12 × 9}[/tex]
• [tex]\sf {10b^2 + 45b - 24b - 12 × 9}[/tex]
• [tex]\sf {10b^2 + 45b - 24b - 108}[/tex]
• [tex]\sf\purple {10b^2 + 21b - 108}[/tex]

[tex]\\[/tex]

[tex]\large\sf {8.) \:(6m² - 11n)(3m + 2n)}[/tex]

• [tex]\sf {(6m² - 11n)(3m + 2n)}[/tex]
• [tex]\sf {6m² × 3m + 6m² × 2n - 11n × 3m - 11n}[/tex][tex]\sf{× \:2n}[/tex]
• [tex]\sf\purple{18m^3 + 12m^2n - 33mn - 22n^2}[/tex]

[tex]\small\color{pink}⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰[/tex]

[tex]\sf {\#CarryOnLearning}[/tex]

FOIL METHOD

For Number 7:

[tex](5b - 12)(2b + 9) \\ 10b^{2} + 45b - 24b - 108 \\ 10b^{2} + 21b - 108[/tex]

For Number 8:

[tex](6m^{2} - 11n)(3m + 2n) \\ 18m^{3} + 12m^{2} n + - 33mn + - 22 {n}^{2}[/tex]