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Question -

निम्नलिखित के गुणनखण्ड कीजिए
(i) x(x – 2) +3 (x – 2)
(ii) 7(a – a) + 7(4 – a)
(iii) 2y (y + 5)-3(y + 5)
(iv) (d-7) +7 (d – 7)
(v) a(a – 5) + 9 (5 – a)
(vi) (z-2) -3 (z-2)
(vii) 17 (a +3) +17 (3 – a)



Answer -

(i) x(x –2) +3 (x – 2)
हल :
x(x – 2) + 3 (x – 2)
= (x – 2) (x + 3)

(ii) 7(a – a) + 7(4 – a)
हल :
7(a – a) + 7 (4 – a)
= (a – 4) – 7(a – 4) = 0

(iii) 2y (y + 5)-3(y + 5)
हल :
2y(y + 5) – 3(y + 5)
= (y + 5) (2y – 3)

(iv) (d-7) +7 (d – 7)
हल :(d –7)2  + 7(d – 7)
= (d – y)
2 + 7(d – 7)
= (d-y) + (d – 7 + 7)
= (d – 7) × d
=d(d – 7)

(v) a(a – 5) + 9 (5 – a)
हल :
a(a – 5) + 9 (5 – a)
= a(a – b) + 9(5 – a)
= (a – 5) (a – 9)

(vi) (z-2) -3 (z-2)
हल :
(z – 2)2 – 3(z – 2)
= (z – 2) (z – 2 – 3)
= (z – 2) (z – 5)

(vii) 17 (a +3) +17 (3 – a)
हल :
17 (a + 3) + 17 (3 – a)
= 17 (a + 3) – 17 (a – 3)
= 17 (a + 3 – a + 3)
= 17 × 6 = 102

 

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