Question 513 Marksfactorise: $3a^2 - 5a + 2$Answer$3a^2 - 5a + 2$ $= 3a2 - 3a - 2a + 2$ $= 3a (a - 1) - 2(a - 1)$ $= (a - 1)(3a - 2)$ View full question & answer→
Question 523 MarksFactorise: $1 - 25 (a+ b)^2$Answer$1 - 25 (a+ b)^2$ $= (1)^2 - [5(a+b)]^2$ $= [1 + 5(a+b)] [1 - 5(a+b)]$ $= (1 + 5a + 5b) (1 - 5a - 5b)$View full question & answer→
Question 533 MarksFactorise: $a^4 - (a^2 - 3b^2)^2$Answer$a^4 - (a^2 - 3b^2)^2$ $= (a^2)^2 - (a^2 - 3b^2)^2$ $= (a^2 + a^2 - 3b^2) (a^2 - a^2 + 3b^2)$ $= (2a^2 - 3b^2) (3b)^2$ $= 3b^2 (2a^2 - 3b^2)$View full question & answer→
Question 543 MarksFactorise: $(5a - 3b)^2 - 16b^2$Answer$(5a - 3b)^2 - 16b^2$ $= (5a - 3b)^2 - (4b)^2$ $= (5a - 3b + 4b) (5a - 3b - 4b)$ $= (5a + b) (5a - 7b)$View full question & answer→
Question 553 MarksFactorise: $(a+ 2b)^2 - a^2$Answer$(a+ 2b)^2 - a^2$ $= (a+ 2b)^2 - (a)^2$ $= (a + 2b + a) (a + 2b - a)$ $= (2a + 2b) (2b)$ $= 2 (a + b) (2b)$ $= 2 \times 2b (a + b)$ $= 4b (a + b)$View full question & answer→
Question 563 Marksfactorise: $x^2 + 6x + 9 - 4y^2$Answer$x^2 + 6x + 9 - 4y^2$ $= (x)^2 + 2 \times x \times 3 + (3)^2 - (2y)^2$ $...[(a + b)^2 = a^2 + 2ab + b^2]$ $...[a^2 - b^2 = (a + b)(a - b)]$ $= (x + 3)^2 - (2y)^2$ $= (x + 3 + 2y) (x + 3 - 2y)$ $= (x + 2y + 3) (x - 2y + 3)$View full question & answer→
Question 573 MarksFactorise: $a^2 - b^2 - 2b - 1$Answer$a^2 - b^2 - 2b - 1$ $= a^2 - (b^2 + 2b + 1)$ $...[(a + b)^2 = a^2 + b^2 + 2ab]$ $...[a^2 - b^2 = (a + b) (a - b)]$ $= (a)^2 - (b + 1)^2$ $= (a + b + 1)(a - b - 1)$View full question & answer→
Question 583 MarksFactorise: $a^2 + 4a + 4 - b^2$Answer$a^2 + 4a + 4 - b^2....[(a + b)^2 = a^2 + 2ab + b^2]$ $....[a^2 - b^2 = (a + b)(a - b)]$ $= (a)^2 + 2 \times a \times 2 + (2)^2 - (b)^2$ $= (a + 2)^2 - (b)^2$ $= (a + 2 + b) (a + 2 - b)$ $= (a + b + 2) (a - b + 2)$View full question & answer→
Question 593 MarksFactorise: $\left(7 \frac{3}{10}\right)^2-\left(2 \frac{1}{10}\right)^2$Answer$ \left(7 \frac{3}{10}\right)^2-\left(2 \frac{1}{10}\right)^2$ $ =\left(\frac{73}{10}\right)^2-\left(\frac{21}{10}\right)^2$ $ =\left(\frac{73}{10}+\frac{21}{10}\right)\left(\frac{73}{10}-\frac{21}{10}\right) \ldots\left[\mathrm{a}^2-\mathrm{b}^2=(\mathrm{a}+\mathrm{b})(\mathrm{a}-\mathrm{b})\right]$ $ =\left(\frac{94}{10}\right)\left(\frac{52}{10}\right)$ $ =\left(\frac{47}{5}\right)\left(\frac{26}{5}\right)=\frac{1222}{25}=48 \frac{22}{25}$View full question & answer→
Question 603 MarksFactorise: $\left(6 \frac{2}{3}\right)^2-\left(2 \frac{1}{3}\right)^2$Answer$ \left(6 \frac{2}{3}\right)^2-\left(2 \frac{1}{3}\right)^2$ $ =\left(\frac{20}{3}\right)^2-\left(\frac{7}{3}\right)^2$ $ =\left(\frac{20}{3}+\frac{7}{3}\right)\left(\frac{20}{3}-\frac{7}{3}\right)$ $ =\left(\frac{27}{3}\right)\left(\frac{13}{3}\right)=9 \times \frac{13}{3}=39$View full question & answer→
Question 613 MarksFactorise : $6a^2 - 3a^2b - bc^2 + 2c^2$Answer$6a^2 - 3a^2b - bc^2 + 2c^{2}$ $= 6a^2 - 3a^2b + 2c^2 - bc^2$ $= 3a^2 (2 - b) + c^2 (2 - b)$ $= (2 - b) (3a^2 + c^2)$View full question & answer→
Question 623 MarksFactorise : $- x^2y - x + 3xy + 3$Answer$- x^2y - x + 3xy + 3$ $= 3 - x + 3xy - x^2y$ $= 1(3 - x) + xy (3 - x)$ $= (3 - x) (1 + xy)$ $= (xy + 1) (3 - x)$View full question & answer→
Question 633 MarksFactorise : $ab(c^2 + d^2) - a^2cd - b^2cd$Answer$ab(c^2 + d^2) - a^2cd - b^2cd$ $= abc^2 + abd^2 - a^2cd - b^2cd$ $= abc^2 - a^2cd - b^2cd + abd^2$ $= ac (bc - ad) - bd (bc - ad)$ $= (bc - ad) (ac - bd)$View full question & answer→
Question 643 MarksFactorise : $a^3 - a^2 - ab + a + b - 1$Answer$a^3 - a^2 - ab + a + b - 1$ $= a^3 - a^2 - ab + b + a - 1$ $= a^2 (a - 1) - b (a - 1) + 1 (a - 1)$ $= (a - 1) (a^2 - b + 1)$View full question & answer→
Question 653 MarksFactorise : $(a^2 - b^2) c + (b^2 - c^2)a$Answer$(a^2 - b^2) c + (b^2 - c^2)a$ $= a^2c - b^2c + ab2 - ac^2$ $= a^2c - ac^2 + ab^2 - b^2c$ $= ac (a - c) + b^2 (a - c)$ $= (a - c) (ac + b^2)$View full question & answer→
Question 663 MarksFactorise : $x^2 - (b - 2)x - 2b$Answer$x^2 - (b - 2)x - 2b$ $= x^2 - bx + 2x - 2b$ $= x (x - b) + 2(x - b)$ $= (x - b) (x + 2)$View full question & answer→
Question 673 MarksFactorise : $x^2 - (a - 3)x - 3a$Answer$x^2 - (a - 3)x - 3a$ $= x^2 - ax + 3x - 3a$ $= x (x - a) + 3 (x - a)$ $= (x - a) (x + 3)$View full question & answer→
Question 683 MarksFactorise : $3a^2b - 12a^2 - 9b + 36$Answer$3a^2b - 12a^2 - 9b + 36$ $= 3a^2 (b - 4) - 9 (b - 4)$ $= (b - 4) (3a^2- 9)$ $= (b - 4) 3 (a^2 - 3)$ $= 3 (b - 4) (a^2-3)$View full question & answer→