Expand (2 x-3)(2 x+5). | vedclass

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Question

(A) To expand the expression $(2 x-3)(2 x+5)$,we use the algebraic identity $(x+a)(x+b) = x^2 + (a+b)x + ab$.Here,let $X = 2x$,$a = -3$,and $b = 5$.Su

Vedclass · Accepted Answer

$4 x^{2}+4 x-15$

Vedclass · Answer

(A) To expand the expression $(2 x-3)(2 x+5)$,we use the algebraic identity $(x+a)(x+b) = x^2 + (a+b)x + ab$.Here,let $X = 2x$,$a = -3$,and $b = 5$.Substituting these values into the identity:$(2x - 3)(2x + 5) = (2x)^2 + (-3 + 5)(2x) + (-3)(5)$$= 4x^2 + (2)(2x) - 15$$= 4x^2 + 4x - 15$.

Expand $(2 x-3)(2 x+5)$.

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