1. (i) p²+6p+8 = p²+(4+2)p+4X2 = p²+4p+2p+4x2 = p(p+4)+2(p+4) = (p+4)(p+2) (ii) q²-10q+21 = q²-(7+3)q+7x3 = q²-7q-3q+7x3 = q(q-7)-3(q-7) = (q-7)(q-3) Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video for more answers vist to: https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14Read more

    (i) p²+6p+8 = p²+(4+2)p+4X2
    = p²+4p+2p+4×2
    = p(p+4)+2(p+4)
    = (p+4)(p+2)

    (ii) q²-10q+21 = q²-(7+3)q+7×3
    = q²-7q-3q+7×3
    = q(q-7)-3(q-7)
    = (q-7)(q-3)

    Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14/

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  2. (i) a⁴-b⁴ = (a²)²-(b²)² = (a²-b²)(a²+b²) [∵ a²-b²-(a-b)(a+b)] = (a-b)(a+b)(a²+b²) [∵ a²-b²-(a-b)(a+b)] (ii) p⁴-81=(p²)²-(9²)² = (9²-9)(9²+9) [∵ a²-b²-(a-b)(a+b)] = (p²-3²)(p²+9) = (p-3)(p+3)(p²+9) [∵ a²-b²-(a-b)(a+b)] Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video for more answers vist to:Read more

    (i) a⁴-b⁴ = (a²)²-(b²)²
    = (a²-b²)(a²+b²) [∵ a²-b²-(a-b)(a+b)]
    = (a-b)(a+b)(a²+b²) [∵ a²-b²-(a-b)(a+b)]
    (ii) p⁴-81=(p²)²-(9²)²
    = (9²-9)(9²+9) [∵ a²-b²-(a-b)(a+b)]
    = (p²-3²)(p²+9)
    = (p-3)(p+3)(p²+9) [∵ a²-b²-(a-b)(a+b)]

    Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14/

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  3. (i) ax²+bx = x(ax+b) (ii) 7p²+21q² = 7(p²+3q²) Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video for more answers vist to: https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14/

    (i) ax²+bx = x(ax+b)
    (ii) 7p²+21q² = 7(p²+3q²)

    Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14/

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  4. (i) 4p²-9p² = (2p)²-(3q)² = (2p-3q)(2p+3q) [∵ a²-b²=(a-b)(a+b)] (ii) 63a²-112b² =7(9a²-16b²)= 7[(3a)²-(4b)²] = 7(3a-4b)(3a+4b) [∵ a²-b²=(a-b)(a+b)] Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video for more answers vist to: https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-1Read more

    (i) 4p²-9p² = (2p)²-(3q)²
    = (2p-3q)(2p+3q) [∵ a²-b²=(a-b)(a+b)]
    (ii) 63a²-112b² =7(9a²-16b²)= 7[(3a)²-(4b)²]
    = 7(3a-4b)(3a+4b) [∵ a²-b²=(a-b)(a+b)]

    Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14/

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  5. (i) a²+8a+16 = a²+(4+4)a+4X4 Using identity x²+(a+b)x+ab=(x+a)(x+b), Here x=a,a=4 and b=4 a²+8a+16 = (a+4)(a+4)=(a+4)² (ii) p²-10p+25 = p²+(-5-5)p+(-5)(-5) Using identity x²+(a+b)x+ab=(x+a)(x+b), Here x=p,a=-5and b=-5 Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video for more answers vist to:Read more

    (i) a²+8a+16 = a²+(4+4)a+4X4
    Using identity x²+(a+b)x+ab=(x+a)(x+b),
    Here x=a,a=4 and b=4
    a²+8a+16 = (a+4)(a+4)=(a+4)²
    (ii) p²-10p+25 = p²+(-5-5)p+(-5)(-5)
    Using identity x²+(a+b)x+ab=(x+a)(x+b),
    Here x=p,a=-5and b=-5

    Class 8 Maths Chapter 11 Exercise 14.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-14/

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