Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$(1.5x-4y)(15x+4y+3)-4.5+12y$$

Answer

$$22.5*x^2-54*x*y+4.5*x-16*y^2-4.5$$

Solution


Expand by distributing sum groups.
\[1.5x(15x+4y+3)-4y(15x+4y+3)-4.5+12y\]
Expand by distributing terms.
\[22.5{x}^{2}+6xy+4.5x-4y(15x+4y+3)-4.5+12y\]
Expand by distributing terms.
\[22.5{x}^{2}+6xy+4.5x-(60yx+16{y}^{2}+12y)-4.5+12y\]
Remove parentheses.
\[22.5{x}^{2}+6xy+4.5x-60yx-16{y}^{2}-12y-4.5+12y\]
Collect like terms.
\[22.5{x}^{2}+(6xy-60xy)+4.5x-16{y}^{2}+(-12y+12y)-4.5\]
Simplify.
\[22.5{x}^{2}-54xy+4.5x-16{y}^{2}-4.5\]
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