`(a+b)(4x+3)-(a+b)(2x+5)`

Use the identity (x+a)(x+b)=x^2+(a+b)x+ab to find the following products. (i) (x+3)(x+7) (ii) (4x+5)(4x+1) (iii) (4x+5)(4x+1) (iv) (4x+5)(4x-1) (v) (2x+5y)(2x+3y) (vi) (2a^2+9)(2a^2+5) (vii) (xyz-4)(xyz-2)

Use the identity (x+a)(x+b)=x^2+(a+b)x+ab to find the following products. (i) (x+3)(x+7) (ii) (4x+5)(4x+1) (iii) (4x+5)(4x+1) (iv) (4x+5)(4x-1) (v) (2x+5y)(2x+3y) (vi) (2a^2+9)(2a^2+5) (vii) (xyz-4)(xyz-2)

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

If a,b are roots of 3x^(2)-4x-2=0, then value of 3a^(2)+7b-(2)/(b) is equal to (a) (16)/(3) (b) (34)/(3)(c)(17)/(5)(d)(28)/(5)

{:( "Column" A ,, "Column" B) , ("If" a^(2) - b^(2) = 16 "and" a- b = 2 "," "then" a + b,, "(a)" 3x^(2) - x - 11), ("The degree of " (x-a) (x-b) (x - c) (x-d) ,, "(b)" 3x^(2) - x + 5), (4x^(2) + 20xy + 25y^(2) ,, (c) 8), ((5x^(2) + 7x -3)- (2x^(2) + 8x -8) ,, (d) 4), (,, (e) (4x + 5y) (x+ 5y)), (,,(f) (2x + 5y)^(2)):}

intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(lnb^(b^x))/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i s (a) 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k (b) 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k (c) 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k (d) -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(e(a^(2x)b^(3x)))+k

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k