\(6(4a+5b)=24a+30b\)

\(6+(-9x+7)=6-9x+7=-9x+13\)

\(5-(9a-2)=5-9a+2=-9a+7\)

\(-2(-4p-8)=8p+16\)

\(4(3x-7)+2(8x-5)=12x-28+16x-10=28x-38\)

\(6x(-4x-8)=-24x^2-48x\)

\((-7p+2)+(8p+3)=-7p+2+8p+3=p+5\)

\((5a-6)-(-7a+8)=5a-6+7a-8=12a-14\)

\(-5(8x-4y+7)=-40x+20y-35\)

\((-4a+2)(-3b-6)=12ab+24a-6b-12\)

\((3a+4)(2a-8)=6a^2-24a+8a-32=6a^2-16a-32\)

\((p-4)(p+5)=p^2+5p-4p-20=p^2+p-20\)

\((x-7)^2=x^2-14x+49\)

\((8a+9)^2=64a^2+144a+81\)

\((-6x+3y)^2=36x^2-36xy+9y^2\)

\((x-7)(x+2)(x-9)=(x-7)(x^2-7x-18)=x^3-7x^2-18x-7x^2+49x+126=x^3-14x^2+31x+126\)

\(a(a+5)(a+3)=a(a^2+8a+15)=a^3+8a^2+15a\)

\((-6x+7y)(-6x-7y)=36x^2-49y^2\)

\((7p-9)(7p+9)=49p^2-81\)

\((a-2)(a+2)=a^2-4\)