Question

गुणनखंड कीजिए : (i) $x^2+ x y + 8x + 8y$ (ii) $15 xy - 6x + 5y - 2$ (iii) $ax + bx - ay - by$ (iv) $15 pq + 15 + 9q + 25p$ (v) $z - 7 + 7 x y - x y z$

Answer 1

Answer Explanation:

(1)

x² + x y + 8x + 8y

= x(x+y) + 8(x+y)

= (x + y)(x + 8)

 

2) 15 xy – 6x + 5y – 2

= 3x(5y- 2) +1(5y - 2)

= (3x + 1)(5y - 2)

 

3) ax + bx – ay – by

= x(a + b) –y(a + b)

= (a + b)(x - y)

 

4) 15 pq + 15 + 9q + 25p

= 15pq + 9q + 25p + 15

= 3q(5p + 3) + 5(5p + 3)

=(3q + 5)(5p + 3)

 

5) z – 7 + 7 x y – x y z

= z - xyz - 7 + 7xy

= z(1 - xy) -7(1 - xy)

= (z - 7)(1 - xy)

 आशा है कि यह उत्तर आपकी अवश्य मदद करेगा।।।।  

इस पाठ से संबंधित कुछ और प्रश्न :

दिए हुए पदों में सार्व गुणनखंड ज्ञात कीजिए : (i) $12x,\ 36$ (ii) $2y,\ 22xy$ (iii) $14 pq, 28p^2q^2$ (iv) $2x, 3x^2, 4$ (v) $6 abc, 24ab^2, 12 a^2b$ (vi) $16 x^3, - 4x^2, 32x$ (vii) $10 pq, 20qr, 30rp$ (viii) $3x^2y^3, 10x^3y^2,6 x^2y^2z$

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गुणनखंड कीजिए : (i) $4p^2- 9q^2$ (ii) $63a^2- 112b^2$ (iii) $49x^2- 36$ (iv) $16x^5- 144x^3$ (v) $(l + m)^2 -(l - m)^2$ (vi) $9x^2 y^2- 16$ (vii) $(x^2- 2xy + y^2) - z^2$ (viii) $25a^2- 4b^2+ 28bc - 49c^2$

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Answer 2

$\huge{\boxed{\red{\boxed{\mathfrak{\pink{Solution}}}}}}$

(1) x² + x y + 8x + 8y

= x(x+y) + 8(x+y)

= (x + y)(x + 8)

2) 15 xy – 6x + 5y – 2

= 3x(5y- 2) +1(5y - 2)

= (3x + 1)(5y - 2)

3) ax + bx – ay – by

= x(a + b) –y(a + b)

= (a + b)(x - y)

4) 15 pq + 15 + 9q + 25p

= 15pq + 9q + 25p + 15

= 3q(5p + 3) + 5(5p + 3)

=(3q + 5)(5p + 3)

5) z – 7 + 7 x y – x y z

= z - xyz - 7 + 7xy

= z(1 - xy) -7(1 - xy)

= (z - 7)(1 - xy)