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Multiply: (ax + by) (5x + 6y)?

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5a(square of x) + 6axy + 5bxy + 6b(square of y)
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Evaluate the product without multiplying directly: 103 x 107?
103 x 107 = (100 + 3)(100 + 7) We know that (x + a)(x + b) = x^2 + (a + b)x + ab Therefore, 103 x 107 = 100^2 + (3 + 7) x 100 + 3 x 7 = 10000 + 1000 + 21 = 11021
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216 = 6^3; log 42 - log 6 = log (42/6) = log 7 ; / log (49) = log 7 / 2 log 7 = 1/2 ; Answer = 3 + 1/2 = 3.5
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If the zeroes of polynomial x3 – ax2 + bx – c are in AP then show that 2a3 – 9ab + 27c = 0
zreors of polynomial means roots of polynomial if the roots of polynomial are in AP then the roots are A+d, A, A-d Sum of the roots = (-) Co-efficient of X^2/ Co-efficient of X^3 = A+d +A +A-d ...
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