Answer Key 7.3
- [latex]9\times 8 = 72[/latex]
[latex]9+8=17[/latex]
[latex]p^2+9p+8p+72[/latex]
[latex]p(p+9)+8(p+9)[/latex]
[latex](p+9)(p+8)[/latex] - [latex]9\times -8=-72[/latex]
[latex]9+-8=1[/latex]
[latex]x^2+9x-8x-72[/latex]
[latex]x(x+9)-8(x+9)[/latex]
[latex](x+9)(x-8)[/latex] - [latex]-8\times -1 = 8[/latex]
[latex]-8+-1=-9[/latex]
[latex]n^2-n-8n+8[/latex]
[latex]n(n-1)-8(n-1)[/latex]
[latex](n-1)(n-8)[/latex] - [latex]6\times -5 = -30[/latex]
[latex]6+-5=1[/latex]
[latex]x^2+6x-5x-30[/latex]
[latex]x(x+6)-5(x+6)[/latex]
[latex](x+6)(x-5)[/latex] - [latex]-10\times 1 = -10[/latex]
[latex]-10+1=-9[/latex]
[latex]x^2-10x+x-10[/latex]
[latex]x(x-10)+1(x-10)[/latex]
[latex](x-10)(x+1)[/latex] - [latex]8\times 5 = 40[/latex]
[latex]8+5=13[/latex]
[latex]x^2+8x+5x+40[/latex]
[latex]x(x+8)+5(x+8)[/latex]
[latex](x+8)(x+5)[/latex] - [latex]4\times 8 =32[/latex]
[latex]4+8=12[/latex]
[latex]b^2+4b+8b+32[/latex]
[latex]b(b+4)+8(b+4)[/latex]
[latex](b+4)(b+8)[/latex] - [latex]-7\times -10=70[/latex]
[latex]-7+-10=-17[/latex]
[latex]b^2-7b-10b+70[/latex]
[latex]b(b-7)-10(b-7)[/latex]
[latex](b-7)(b-10)[/latex] - [latex]-3\times -5=15[/latex]
[latex]-3+-5=-8[/latex]
[latex]u^2-3uv-5uv+15v^2[/latex]
[latex]u(u-3v)-5v(u-3v)[/latex]
[latex](u-3v)(u-5v)[/latex] - [latex]-8\times 5 =-40[/latex]
[latex]-8+5=-3[/latex]
[latex]m^2-8mn+5mn-40n^2[/latex]
[latex]m(m-8n)+5n(m-8n)[/latex]
[latex](m-8n)(m+5n)[/latex] - [latex]4\times -2=-8[/latex]
[latex]4+-2=2[/latex]
[latex]m^2+4mn-2mn-8n^2[/latex]
[latex]m(m+4n)-2n(m+4n)[/latex]
[latex](m+4n)(m-2n)[/latex] - [latex]8\times 2=16[/latex]
[latex]8+2=10[/latex]
[latex]x^2+8xy+2xy+16y^2[/latex]
[latex]x(x+8y)+2y(x+8y)[/latex]
[latex](x+8y)(x+2y)[/latex] - [latex]-9\times -2=18[/latex]
[latex]-9+-2=-11[/latex]
[latex]x^2-9xy-2xy+18y^2[/latex]
[latex]x(x-9y)-2y(x-9y)[/latex]
[latex](x-9y)(x-2y)[/latex] - [latex]-2\times -7=14[/latex]
[latex]-2+-7=-9[/latex]
[latex]u^2-2uv-7uv+14v^2[/latex]
[latex]u(u-2v)-7v(u-2v)[/latex]
[latex](u-2v)(u-7v)[/latex] - [latex]4\times -3=-12[/latex]
[latex]4+-3=1[/latex]
[latex]x^2+4xy-3xy-12y^2[/latex]
[latex]x(x+4y)-3y(x+4y)[/latex]
[latex](x+4y)(x-3y)[/latex] - [latex]5\times 9=45[/latex]
[latex]5+9=14[/latex]
[latex]x^2+5xy+9xy+45y^2[/latex]
[latex]x(x+5y)+9y(x+5y)[/latex]
[latex](x+5y)(x+9y)[/latex]
