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ALGEBRA
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Note.

We begin on the left and work to the right, placing the second result one place to the right, so that like terms may stand in the same vertical column.

x. 2. Multiply 2x-3y by 4x—7y.

2x —3y 4x —7y

8x— 12xy — 14xy + 21y^2

8x^2 — 26ay + 21y^2

EXAMPLES iv. d.

Find the product of

x+5 and x+10. x+5 and x— 65. and « — 10. and x + 10. “2+7 and «— 10. x+7 and «+10. 2+6 and «—6. 2+8 and x—4. ax—12 andx—-—1.

“+12 and x—1.

2—15 and «+15.

x—15 and —x+3.

—x—2and —2z-3.

. —“2+7 and «—7.

. —2+5 and —x#—-5.

~—13 andx+14. x2 —17 and x + 18. a2 +19 and « — 20.

—x—16 and —x+ 16.

—x#+21 and x— 21.

. 24—38 and «+8. . 24438 and x —8.

. —5 and 2% —1.

2x%—5 and «—-1.

. 8¢2—5 and 2447. . 84+5 and 2«e—7. . 542—6 and 2743. . 5246 and 24-3.

. 3” —d5y and 38%+45y.

38x2—5y and 3% —5y.

. @—26 and a +3b,

a—7b and a+8b.

. 3a—6b and a— 8b.

a—9b and a+ 5b. x+aand x —b. 2—aand «+ b. a—2a and 4+ 3b. ax — by and ax + by. ay —ab and xy + ab.

. 2pqg—3r and 2pq+3r.