Question

$$3L(L-4m+5n)-4L(10n-3m+2L)$$

Answer

$$-5*L^2-25*L*n$$

Solution


Expand by distributing terms.
\[3{L}^{2}-12Lm+15Ln-4L(10n-3m+2L)\]
Expand by distributing terms.
\[3{L}^{2}-12Lm+15Ln-(40Ln-12Lm+8{L}^{2})\]
Remove parentheses.
\[3{L}^{2}-12Lm+15Ln-40Ln+12Lm-8{L}^{2}\]
Collect like terms.
\[(3{L}^{2}-8{L}^{2})+(-12Lm+12Lm)+(15Ln-40Ln)\]
Simplify.
\[-5{L}^{2}-25Ln\]