Get easy solutiion of RS Aggarwal Class 8 Math Chapter 7 Factorisation Exercise 7d.
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Factorise:
(1) x2+5x+6
= x2+3x+2x+6
=x(x+3)+2(x+3)
=(x+3)(x+2)
(2) y2+10y+24
= y2 +6y+4y+24
=y(y+6)+4(y+6)
=(y+6)(y+4)
(3) z2+12z+27
= z2+3z+9z+27
=z(z+3)+9(z+3)
=(z+3)(z+9)
(4) p2 +6p+8
= p2+4p+2p+8
=p(p+4)+2(p+4)
=(p+4)(p+2)
(5) x2+15x+56
= x2 +8x+7x+56
=x(x+8)+7(x+8)
=(x+8)(x+7)
(6) y2+19y+60
= y2+4y+15y+60
=y(y+4)+15(y+4)
=(y+4)(y+15)
(7) x2 +13x+40
= x2 +5x+8x+40
=x(x+5)+8(x+5)
=(x+5)(x+8)
(8) q2 -10q+21
= q2 -3q-7q+21
=q(q-3)-7(q-3)
=(q-3)(q-7)
(9) p2 +6p-16
= p2 -2p+8p-16
=p(p-2)+8(p-2)
=(p-2)(p+8)
(10) x2 -10x+24
= x2 -4x-6x+24
=x(x-4)-6(x-4)
=(x-4)(x-6)
(11) x2 -23x+42
= x2 -2x-21x+42
=x(x-2)-21(x-2)
=(x-2)(x-21)
(12) x2 -17x+16
= x2 -x-16x+16
=x(x-1)-16(x-1)
=(x-1)(x-16)
(13) y2 -21y+90
= y2 -6y-15y+90
=y(y-6)-15(y-6)
=(y-6)(y-15)
(14) x2 -22x+117
= x2 -9x-13x+117
=x(x-9)-13(x-9)
=(x-9)(x-13)
(15) x2 -9x+20
= x2 -4x-5x+20
=x(x-4)-5(x-4)
=(x-4)(x-5)
(16) x2 +x-132
= x2 +12x-11x-132
=x(x+12)-11(x+12)
=(x+12)(x-11)
(17) x2 +5x-104
= x2 +13x-8x-104
=x(x+13)-8(x+13)
=(x+13)(x-8)
(18) y2 +7y-144
= y2 +16y-9y-144
=y(y+16)-9(y+16)
=(y+16)(y-9)
(19) z2 +19z-150
= z2 +25z-6z-150
=z(z+25)-6(z+25)
=(z+25)(z-6)
(20) y2 +y-72
= y2 +9y-8y-72
=y(y+9)-8(y+9)
=(y+9)(y-8)
(21) a2 +6a-91
= a2+13a-7a-91
=a(a+13)-7(a+13)
=(a+13)(a-7)
(22) p2 -4p-77
= p2 +7p-11p-77
=p(p+7)-11(p+7)
=(p+7)(p-11)
(23) x2 -7x-30
= x2 +3x-10x-30
=x(x+3)-10(x+3)
=(x+3)(x-10)
(24) x2 -11x-42
= x2 +3x-14x-42
=x(x+3)-14(x+3)
=(x+3)(x-14)
(25) x2 -5x-24
= x2 +3x-8x-24
=x(x+3)-8(x+3)
=(x+3)(x-8)
(26) y2 -6y-135
= y2 +9y-15y-135
=y(y+9)-15(y+9)
=(y+9)(y-15)
(27) z2 -12z-45
= z2+3z-15z-45
=z(z+3)-15(z+3)
=(z+3)(z-15)
(28) x2 -4x-12
= x2 +2x-6x-12
=x(x+2)-6(x+2)
=(x+2)(x-6)
(29) 3x2 +10x+8
=3x2 +6x+4x+8
=3x(x+2)+4(x+2)
=(x+2)(3x+4)
(30) 3y2 +14y+8
=3 y2+12y+2y+8
=3y(y+4)+2(y+4)
=(y+4)(3y+2)
(31) 3z2 -10z+8
=3 z2-6z-4z+8
=3z(z-2)-4(z-2)
=(z-2)(3z-4)
(32) 2x2 x+x-45
=2 x2+10x-9x-45
=2x(x+5)-9(x+5)
=(x+5)(2x-9)
(33) 6p2 +11p-10
=6p2 +15p-4p-10
=3p(2p+5)-2(2p+5)
=(2p+5)(3p-2)
(34) 2x2 -17x-30
=2x2 +3x-20x-30
=x(2x+3)-10(2x+3)
=(2x+3)(x-10)
(35) 7y2 -19y-6
=7y2 -21y+2y-6
=7y(y-3)+2(y-3)
=(y-3)(7y+2)
(36) 28-31x-5x2
=28-35x+4x-5x2
=7(4-5x)+x(4-5x)
=(4-5x)(7+x)
(37) 3+23z-8z2
=3+24z-z-8z2
=3(1+8z)-z(1+8z)
=(1+8z)(3-z)
(38) 6x2 -5x-6
=6x2-9x+4x-6
=3x(2x-3)+2(2x-3)
=(2x-3)(3x+2)
(39) 3m2 +24m+36
=3(m2 +8m+12)
=3{m2 +6m+2m+12}
=3{m(m+6)+2(m+6) }
=3(m+6)(m+2)
(40) 4n2 -8n+3
=4n2-6n-2n+3
=2n(2n-3)-1(2n-3)
=(2n-3)(2n-1)
(41) 6x2 -17x-3
=6x2 -18x+x-3
=6x(x-3)+1(x-3)
=(x-3)(6x+1)
(42) 7x2 -19x-6
=7x2 -21x+2x-6
=7x(x-3)+2(x-3)
=(x-3)(7x+2)