The fractions reduced to 2x 5х 2xX7 5x X5 + a common denominator. + 3x X5 2ax 15x Here + + + 6x 13x Here + 5' 7 5X7 5X7 35 35 35 3x X x x 12x 8.x +o+ +24+24 Ans. 12 Here these fractions may be written thus; 2a + 3a +a+ Ans. MULTIPLICATION OF ALGEBRAIC FRACTIONS. 52. RULE. Multiply all the numerators together for the numerator of the product, and all the denominators together for its denominator; the former placed over the latter will give the product required. 2x 3x 3x 5x 2x 1. Multiply by or by or by 2' 2 36' 2xX3x 6x2 3x2 5xx3x 5X2a 10a 5a' 2X3b or 15x2 2x X3x or 9 3x 7 6x2 26 7(x-1) 7x-7' 3ax-5a 3x2(15x-30) 3x2X3 922 9x or 4x2-6 2x(5x-10) 2x 2 15x-30 2x Ans. 4x2-8x 2xX3xX5x 302 15x3 2x (x-2)4x or Ans. 4a3—8a1x+16a3x3—5a2x2+2a3x+2ax3+8ax1—4x3 (x2+b2) (x2—b2) (x2-b2)Xx 5a1-5b* 6a2+5ab (x2+b2) (x2—b2) (x—b) (x—b) (x—b) (x+b) Xx 4. Divide or x2 + xy by by x-y (x-y)2 2a2-4ab+262 4a-4b (x2+xy) (x2-2xy+y2) (x2+xy) (xy) x2+xy=x(x+y) (x-y) (xy) 5a1 564 4ab2b2 (5X2) (a*b1) 2a2 (a—b) (6a2+5ab) 3x 11 12 x23+x2y+xy2+y3° 6a2 + 5ab (5a5b') X (4a-46) 4a 46 (2a2-4ab-2b2) (6a2+5ab 5.2.(a3+a2b+ab2+b3 ___ 10 (a3+a2b+ab2+b3 5. Divide by or 4 11 3x 12 9x 622 3x X 6x2 by 3x, or 3x+1 4x 9 3 2x-1 by 3. A. - or = 12 4 11 11 5 1 4x 3a Za-b 6x2 1 2x 3x 4 6. Divide 5 56 4cd Бас 10ac2 |